f (x) = 5x* f(x) %3D 12x5—4х4

Q: Find the derivative of the function.

A: Use the formula of product rule to find the derivative that is df(x)×g(x)dx=f'(x)×g(x)+f(x)×g'(x)…

Q: Find the derivative Of y=4e^-0.3t

A:

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

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Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

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Q: The derivative of the function y -3x2+4 is: %3D sec x

A: Given that y=-3x2+4secx find the derivative of y

Q: Calculate the value of the derivative of the function y=x2−12x2 at x=1.

A: To calculate the value of the derivative of the given function at x = 1.

Q: Find derivative of y=2e^.6t

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Q: Find the derivative of the function. 4x +6 y-D y'3D

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Q: Find the derivative of y=-3/(t-2)4

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Q: Find the derivative of y = f(x) x2 +1

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Q: Find the derivative of the function y = coth 8x2

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Q: Find the derivative of the function (x-2)2 | y = Vx2 +1' 2.

A: We use derivative of u/v=( v derivative of u - u derivative of v)/v2.

Q: Find the second order derivative of ycos³(2x).

A:

Q: Find all possible functions with the given derivative. y = 5x -7x

A: y'=5x2-7x

Q: Find the derivative of the function. y = V 3 + 8e6x

A: To find the derivative of given function.

Q: Find the derivative of y=x(6^(−2x))

A: Explanation of the answer is as follows

Q: Find the derivative of the function. y = 1/√(3x + 5)

A: y=13x+5

Q: Find the 3rd derivative of the functions: y = 12(5x2 –1)(x2 –1)

A: Find the 3rd derivative of the functions: Given y=12(5x2-1)(x2-1) To find dydx, d2ydx2, d3ydx3

Q: Find the derivative of the function y=2x+12x−1 at x=1.

A:

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Find the derivative of the following using the three-step rule Зх -1 1. у3 2x+5

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Q: find the derivative of the function f(t)=square root of 4t^2-t

A: Given         f(t)=4t2-t

Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

A:

Q: Find the derivative of the following: y = (2x + 3) (3 – a²)

A: Given, y=(2x+3)(3-x2) To evaluate derivative of y

Q: Find the derivative of the function. f(x) = V3x + 2

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Q: Find the derivative of the function. 7 q = = Vx' - 2x

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Q: .Find the derivative of the function: y =x² +8sin .

A: To find the derivative of y.

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

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

Q: Find the derivative of the function and then evaluate at the given point. y= 4x2 - 5x; (– 1,9) f'(x)…

A: The given function is y=4x2-5xThe point is (-1, 9)

Q: Find the derivative of the function f(x) = 36x arccos(4x) + 9/1 – 16x? f'(x)

A: we will solve using product rule and chain rule of derivative

Q: Find the derivative of the function. y = 7xe−kx

A: Differentiate both sides w.r.t xUse product rule on the right side.

Q: Find the derivative of * 2 T (x) = Va + 9Vx?

A: Given: T(x)=x+9x73-2x25

Q: Find the derivative of the function. 3.4 q = Vx' + 3x + 3x

A: Given function is

Q: Find the derivative of the function y = −7x(8−2x)

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Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

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Q: Find the derivative of y = x"+1 + (n + 1)*

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Q: Find the derivative with respect to x: y = x3- 3*

A: The given function is: y=x3.3xWe need to find the derivative of y with respect x.Recall the…

Q: y = 5v 3vã х

A:

Q: Find the derivative of the given function y = (2x+ 5)v4x – 1

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Q: Find the derivative of the function y=3√x+8x.

A: Given:y=3x+8x

Q: Q:5 Find the derivative of f(x) = (5x² -3)(3x - 2) at x 2.

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Q: find derivative of x3 x? 3x3 3x? noe of the above

A: Given,  The expression x3  We have to find the derivative of  x3.

Q: Find the derivative of the function. -Vx? y = + 36 6 + Vx2 + 36 1 In 36 6x2

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Q: Find the derivative of the function. h(s) = -2 -2V9s + 1 2 h'(s) %3D

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Q: Find the derivative of (x+h)²+y²=r²

A: Here the equation is x+h2+y2=r2.

Q: Find the derivative of the following function. 3. 一 2 +2x 2 y3 5x +x°-2 y' =D

A:

Q: find the derivative of y = (x + 1) (x² + 3).

A: Given          y=(x2+1)x3+3

Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y…

Q: Find the derivative of the function. y = -5x In (2x + 9) dy xp

A: Topic = Derivative