find a linearization at a suitably chosen integer neara at which the given function and its derivative are easy to evaluate. ƒ(x) = x/x + 1, a = 1.3

Q: Find the derivative of the function 1-x2 t2sin(t) dt g'(x) =

A: First I have written the Leibnitz rule for derivative of an integral and using them find the…

Q: • Find f (x) of f(x)=by using the definition of the х-1 derivative. • 1- Find if y=3t-4 and t = Vx +…

A:

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: x=0 is near a=0.11

Q: Find the derivative of the function and evaluate (x) at the given value of x. 3x + 1 fx) = %3D ;ズミ3…

A:

Q: Find the derivative of the following. g(x) (e2t + VE - t) dt g'(x)

A:

Q: Compute the derivative of the given function. g(t) = 2t - In(2 – 5t) %3D

A: Given that: g(t)=23t.ln(2-5t)

Q: Find the derivative of the function. y = In(e7x + 5)

A: Given y=ln(e7x+5)

Q: Find the actual error when the first derivative of f (x) = e-2* at x = 1 is approximated by the…

A:

Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Compute the derivatives at the given value of a g(x)=(3x-5)/(x-2)     a=1

A:

Q: Assume mmh (x) = f(g(x)) such that the first an exist g Second derivatives of both of and What is b"…

A: Assume h(x) = f(g(x)) such that the first and second derivatives of both f and g exist  We have to…

Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

A: Numerical differentiation is nothing but to approximate the changing in the function value with…

Q: Find the derivative of the given function from the first principle ax2+bx+c

A:

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. (If…

A: Differentiate the function fx=xx2+1 with respect to x, to obtain f'(x) and f''(x).…

Q: Find the linearizationsof the following functions at x = 0. ex

A: fx=ex at x=0. Now differentiating with respect to x, we get f/x=dexdx=ex Now, f0=e0=1 & f/0=e0=1

Q: Find the finite derivative of a the functions below at x=1: a) f(x) = 4x³-3x²+2x-3 3 b) f(x)==-²/ 3…

A: Concept: The derivative can be represented as f'(x) or ddx(f(x)) Derivative of xn: ddx(xn)=nxn-1…

Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

A:

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: Given         f(x)=sin-1x , a=π12

Q: 4. Find the equation of the tangent line and the normal line to the graph of the given function at…

A:

Q: Find the first and second derivatives of the functions w = ez(z - 1)(z2 + 1)

A:

Q: Find the function with derivative f'(x) = e8 that passes through the point P= (0,7/8).

A: We are given a diierentrial equatrion[f'(x)=e8x ] and a pssing point (0, 7/8) of the same  we need…

Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: Q2:A/ Consider the function f(x) = 11x+3 -what are the first and second derivatives? -what are the…

A: We will answer the first three subparts of the first question as per our guideline. Please resubmit…

Q: (b) Noting that f'(x) is also another function of æ, what is the linear approximation of f'(x) in…

A:

Q: The derivative of In x is and the derivative of a constant C is, sO X dx = In |x| +C for x> 0.

A: Given x>0, The differentation of natural log x is 1/x  And differentation of constant are zero.

Q: 55. By normalizing the function f(x)==-defined in the domain [0, 2], we will get as a result the…

A:

Q: Find the linearization of the function f(x)=ln(2x+3) at x=-1

A:

Q: • Find f (x) of f(x)= by using the definition of the x-1 derivative. • 1- Find if y=3t-4 and t Vx+…

A: we have to find the derivative using definition. as per definition  f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)³ 5. h(x) = 2-9, 3 x+5 %3D 6. A(x) =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the linearizationsof the following functions at x = 0. ln (1 + x)

A:

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: find a linearization at a suitably chosen integer near a.

Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

A:

Q: (x3-x)² .3. 2 5. у 3 х+1

A: We’ll answer the 5th question since we answer only one question at a time. Please submit a new…

Q: 2) Use a derivative sign chart to graph the following parameterized curve: dx -5(1-3X-7). dt…

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2…

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To find a linearization at a suitable chosen integral near a= 0.11 at which the below function and…

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: To determine the linearization for the function.

Q: Find the first derivative of g(x) if g(x) = e²* In(2x) %3D

A:

Q: 6. у3 In (x*+3х -1)2 V(5x+2) step1 step2

A: Derivative of function

Q: Find the derivative of the given function e5x (2x+1)5 b. f(x) = In Vx²+1 f(x) = (x In x – x)

A: Given that: b. f(x)=lne5x(2x+1)5x2+1c. f(x)=(xlnx-x)

Q: Find the derivative of the following functions: (a) f(x) = (2x – 8)(x³ + x² + 7x)| (b) ƒ(x)= x3–2x)…

A:

Q: Determine the anti-derivative of the following functions: a) S(x)=(3x+2)(2x* - 3x +4)

A: Given, f(x) = (3x +2)(2x2 -3x +4) So  f(x) =  6x3 -9x2 + 12x + 4x2 -6x +8     f(x) =  6x3 -5x2 + 6x…

Q: a) Find the derivative of the function: T+ V3x f (x): 3x-1

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

Q: Find the derivative of the function.

A: Given- gx=∫1cosx1-t23dt To find- The derivative of the above function. Concept Used- Using the…

Q: Find the derivative of the function. y = In) x +6. (a)"* g(x) = log,(x) 9'(x) = (b) y = x5x + 2 (c)

A:

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: The given function is fx=1+x. The derivative of the function is, f'x=1. At point a = 8.1,…

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A:

Q: Find the function with derivative f'(x) = e7¤ that passes through the point P = (0, 6/7).

A: Given that f'(x) = e7x and we find function that passes through point (0,6/7). We know that f'(x) is…

Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: