Find the derivative of the function y = In(3t + 4). %3D dy dt

Q: Can you help me with this problem step by step?

A: The given equation,

Q: Find the derivative of y with respect to t. 10t y3Dcsc dy %3D dt

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Q: Find the derivative of the given function. y = V3x dy dx

A: Given: y=3x4 To find: dydx

Q: Find the derivative of the given function. y=cos(e^-5theta^3)   dy/dtheta=

A:

Q: Find the derivative of y with respect to t. y= tan -1Vt dy dt

A: We can solve the given problem using the chain rule of derivative.

Q: Find the derivative of y with respect to s. y%3Dsec -1 (2s4 + 7) dy ds

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Q: Find the derivative of y with respect to t. y = t(In 11t)? dy %3D dt

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Q: Find the derivative, dy / dx, at the points where x = 1 on the folium                    (x 2 + y 2)…

A: given,       (x 2 + y 2) 2 = (25/4) x y 2 .

Q: Find the derivative of y = = Ve-5t +1 dy dt ||

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Q: Find the indicated derivative and simplify. Int dy for y = dt et dt

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Q: Find the derivative of the function y = 5 . 5t +3·3. dy dt

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Q: Find the derivative of y with respect to t. y = csc -1(e') dy dt

A: The chain rule of derivative states: f∘g'=f'(g)×g'. The derivative of exponential function is…

Q: Find the derivative d dy dy (3y?) = ay + by +c- dt dt dt

A: Proceed as shown below....

Q: Find dy/dx by implicit differentiation. ey = x + Y dy/dx

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Q: Find the derivative d cos t dt dz

A: Given : ddx∫0xcostdt

Q: Find the derivative of y = 7 In(sin t + 5). dy/dt =

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Q: Find the derivative of y with respect to t. y = tan - 1 2t V 2t dy dt

A: We have to solve

Q: Can you help me step by step?

A: To differnetiate the given function y(t)

Q: Find the indicated derivative and simplify. dy 41 Int for y = - dt et

A: Product Rule of differentiation : du.v.wdt =dudt.v.w+u.dvdt.w+u.v.dwdt.

Q: Find the derivative of y with respect to t. y=e(cos t+ln t) dy/dt=???

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Q: Find the indicated derivative and simplify 6t Int dy for y= dt dy dt %3D

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Q: Find the derivative of y with respect to t. y=sin (V3t) dy

A: Given function is  y = sin^-1(√3 t)

Q: Find the derivative of the function. s=t° In t| ds dt

A: The solution is given below in the next step:

Q: Calculate the derivative of y with respect to x. xe' = 3xy+6y %3D dy dx

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Q: Find the derivative of the y with respect to t. Y=ln(t^2) dy/dt

A: To find the derivative of Y=ln(t^2) with respect to t.

Q: Find the derivative of the function. r sin(x) y = Jcos(x) In(4 + 9v) dv y'(x) = %3D

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Q: Find the derivative of the function. -1 y = (3t – 1)(6t – 5) dy dt II

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Q: Find the derivative of the function. s=? In |t| ds dt II

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Q: Find the derivative dy if y(x)- Vx+1 dx dy xp dl (O

A: Given:

Q: Find the derivative of y with respect to t. 1 y = sec 1 0<t< 5t4 dy dt

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Q: Evaluate the derivative dt -for the function y = 4vī cosh vĩ – sinh(t²).

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Q: Calculate the derivative: d dx * ST (6t3 – 9t) dt = -

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Q: Can you help me with this problem step by step?

A: Consider the given function.

Q: Find the derivative of y with respect to t. -1(e 3t) y = csc dy dt

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Q: Find the indicated derivative. dy for y = x dx

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Q: Find the derivative of y with respect to t. y3 t(ln 10t)2 dy dt

A: we have to find derivative

Q: Take the derivative of the following: Dy= 3xe y = e (3) e y = @y= In () 10 Y=ln (In x)

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Q: Find for the equation below. dy dt

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Q: Find the indicated derivative. dy dt - for y = (2.2t - 4t?)(2t + 1.9) dt 11

A: We have to find dy/dt for Given function.

Q: Find the derivative of y = r/10 dy dz

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Q: Find the derivative of y with respect to x. - 4x y = (3 + 12x) e dy %3D dx

A: Given function is

Q: Find the derivative of y with respect to T Y=t(ln 4t)^2 dy/dt

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Q: Find the derivative of y with respect to t. y= csc¯1(e) %3D dy %D dt

A:

Q: Can i get help step by step?

A: We take ln on both sides and use logarithmic differentiation. Using the product rule and power rule…

Q: b) y = vs3 + 1 dy dt

A: We used the chain rule.

Q: Calculate the derivative of the following function. y= cos (8t+ 15) dy dt

A: Differentiation of cos that ha is -sin thehtha. We will use changing rule to find dy/dt

Q: Find the derivative of y with respect to x.   Y=lnx /3+2ln x   dy/dx=___________

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Q: Find the derivative. 7)은 / sin t dt dy

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Q: Find dy/dx by implicit differentiation. = x + y dy/dx :

A: We have to find implicit differentiation.

Q: Can i get help step by step please

A: Given expression.