Find the derivative of f(x)=ex^2sin(ln(x))

Q: lim x 3 x²+2x-15 x-3

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Q: Use the four-step definition of the derivative to find f'(x) if f (x) = −4x² - 7x + 16. f (x + h) =…

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Q: Let y 2 (52–4)3 . Then dy dx

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Q: y = ((x+2) (x²+1))4

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Q: y = log₂ (x + 5)

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Q: Find equations for (a) the tangent plane and (b) the normal line at the point Po(1,2,2) on the…

A: Given, surface is , point is .

Q: Let f(x) = x² + 2x+1 a) Find the equation of the secant line between the points P and Q on the graph…

A: Let (a) To find the equation of the secant line between the points P and Q on the graph of , where P…

Q: 1. A lead block has dimensions 8 mm by 6 mm by 2mm. To add value, the block will be covered in a…

A: We have to find the thickness of the silver coating.

Q: Find the derivative of the function at Po in the direction of A. f(x, y) = -3xy-4y², Po(3,2). A=…

A: To find the derivative of the function at P0 in the direction of A.

Q: Solve the following system of linear equations: x1+3x2+3x3 = 1 -x1+2x2+2x3 = 9 3x1+8x2+9x3 = 4 If…

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Q: 8. The volume of a can of beans can be found by the formula V = ²h. a. If the radius is half the…

A: We solve the given problem by using the volume formula given in the problem.

Q: Find the length of the arc of the curve from point P to point Q. y - = —x², p(-9, ³¹), Q(9, ³¹)

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Q: Graph the function. Then identify the​ domain, range, and​ y-intercept, and state whether the…

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Q: 28.1-EXAMPLE 1 Write the equation of the tangent to the curve 2 y = x² at x = 2 (Fig. 28-2).

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Q: Use logarithmic differentiation to find dy/dx y = xX - 6, x > 0 dy dx =

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Q: lim *→∞ 4+10x³ 10 2x² +8

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Q: f(x) = log2 (x - 5)

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Q: —2 — 6x — x²|

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Q: Calculate the area under the curve or the area between curves, as the case may be. Show the solution…

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. y =…

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Q: Determine the radius of convergence: (a) Σ(2η n=0 (2n + 1)(2x)²n.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: You work for a dairy farm and want to create a rectangular milk carton box with a square top and…

A: Let x be the side of the  square baseLet y be the height of box Figure

Q: Find the derivative of y with respect to x. y = csc¯1 (4x²+1), y= x>0 dy dx ||

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Q: The measurement of the side of a square floor tile is 22 inches,

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Q: A Bernoulli differential equation is one of the form n appropriate substitution to solve the…

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Q: c) = x²-4x-21

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Q: Find all critical values for f(x) = ( − 3x + 6)¹ (9x - 1)7. The critical values occur at x = (Enter…

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Q: Suppose that is a differentiable function of t and that y = 3x² + 7, then dy dt If dy dt Use either…

A: Given Information regarding the question

Q: (a) Find the function f such that £[ƒ(1)] = f(t) = (b) Find the function g such that L[g(t)] g(t) =…

A: (a) To find the function  such that (b) To find the function  such that

Q: 2. Provide the general set up to find the surface area of the surface obtained by rotating the curve…

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Q: If we are not having tacos for dinner, then it is Friday. For each statement below, determine…

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Q: Find the length of the curve r(t) = (2t3/2, cos 3t, sin 3t) from 0 to 3.

A: To find the length of the curve  from 0 to 3.

Q: on is its center of mass. It is the point, where on is its center of mass. In 2 dimensions it will…

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Q: Evaluate the limit. √x+y -2 (x,y)→(2,2) x+y-4 lim Select the correct choice below and, if necessary,…

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Q: The following table records some values of the functions f and g. T 2 3 4 5 0 1 f(x) 1 0 3 10 21 36…

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Q: Explain why if a runner completes a 6.2-mi race in 38 min, then he must have been running at exactly…

A: We need to explain the problem given in the question.

Q: Question 9 Let f(x) = 4 ln(x). Then f'(x) is and f'(11) is f"(x) is and f"(11) is Question Help:…

A: f(x) =4ln(x) to find f'(x), f'(11), f''(x), f' '(11)

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Yes No 2. Is the following graph a function? 44 0 2

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Q: Packaging Costs A rectangular box is to have a square base and a volume of 60 ft3. The material for…

A: A rectangular box is to have a square base and a volume of 60 ft³. The material for the base costs…

Q: For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

A: First of all we have to find the derivative of the given function then for the horizontal tangent we…

Q: following piencewise function is continuous at x=2 f(x)= {3x+k   if x> 2          {-2x+5 is x< or…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Graph the function: f(x)=x+41-3.

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Q: A ball is dropped from a height of 95 feet. Its height above ground (in feet) t seconds later is…

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Q: Given f (x) = sin x + cos x and f'(x) = cos sin x on the interval [0, 2π], find a value c that…

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Q: A company produces handmade shawls and afghans. They spin the yarn, dye it, and then weave it. A…

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Q: 2. Differentiate the following equations. a. b. C. d. 9. h. f'(x) = f'(t) = f'(x)= F'(t) = A'(s) =…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integra VxV1 -…

A: We are given the integral and we need to find the integration.