(29) Evaluate the integral: r/3 csc? xdx. (30) Find the derivative of the integral function: g(x) sec 3t tan 3tdt. Leave your answer unsimplified.

Q: Calculate the derivative of the function: -3 x5 – 17 f(x) = x + 17 Answer: f'(x) = Check

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Q: f(x) = Vx² + 64

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Q: Find the third derivative of y = (6x - 1). Show your %3D in negative exponent.

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Q: Compute the derivative: The derivative is: 4 d. 4 4 (23) dx x² – 5 x=2

A: On solving this we will get

Q: 9. f(x) = Vx(x* – 2x + 3)

A: 9. We need to evaluate the derivative of the following function fx = xx4-2x+3 Formula Used : ddxxn =…

Q: 13. A differentiable function f on the interval -2 sxs7 is such that f'(c) = 0 where -2 <c<7. If…

A: Clearly we have, f'(c) = 0. Means c is a critical point.

Q: Find the derivative of the function. y = log |3 - x| O A. dy dx OB. dy dx OC. dy dx OD. dy 1 In 10…

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Q: Find the derivative of function.

A: Use the product rule to find the derivative for s. s=t2lntdsdt=ddtt2×lnt+t2×ddtlnt

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: 14. d dt t-π²²

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Q: Find the anti derivative of the following: (√x/2 + 2/√x)dx

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Q: S (a) Find the derivative of the function using FTC1: g(x) = J dt t2-1

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Q: If f(x) = v4x + 1 find f"(2). %3D

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

Q: 3x Write down the derivative of the function V3+ cos? (x) dxc.

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Q: Calculate the derivative : 1 y = x + 3 (Use symbolic notation and fractions where needed.) dy dx…

A: To find the derivative of y=1/(x+3) at x=4