(d) Let y(x) = [tan-¹ (√)]4. Find y'.

Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

A: This question is related to differentiation, We will solve it using given using given information.

Q: f(x) = 2 sin(cos z)

A: Given,           y = 2 sin(cos x)

Q: 1. Find y'. (2) y=

A: SINCE YOU HAVE ASKED MULTI PAL QUESTIONS IN SINGLE REQUEST , WE WILL BE ANSWERING ONLY THE FIRST…

Q: Let f(x) = sin(x)x-2 Find f'(x).

A: Differentiation Question

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

A:

Q: Find y" 13. y = x²sin (3x)

A:

Q: (пх)2 find y'

A:

Q: Find the derivative of the function. 7x 7x flu) du J3x 0 fu) 3x d du g(x) Hint: fu) 3x u5 g'(x)

A: To determine the derivative of the function.

Q: Find y' and y". In(3x) y = y" %3!

A: Given y=ln3xx6

Q: 7. Find y' for y = (sinx)*.

A: The given function is y=(sin x)x. Rewrite the given function as follows.

Q: For the function f(x) = -2ex, find f''(x), f''(0), f''(7), and f''(-9).

A: Solution :-

Q: For the function f (x) = V8 (x – 1)*, find f-'(x).

A: Given query is to find the inverse of the function.

Q: Let y = f(r) be the inverse of the function f(x) = 2x3³+x-3. Find y'(0) and y'(-3).

A:

Q: Find the second derivative (y") of y = cot(3x³)

A: Given,        y=cot(3x3)

Q: y = 3x sin-(x²) + In(1 + 2x). Find y' using derivative rules

A: The given function is as -y = 3xsin-1(x2) + ln(1+2x)Differentiating on both sides with respect to…

Q: For the region R below, express f(x+y)dA as an iterated integral in polar coordinates. ។ C3π/4 T/4…

A:

Q: x² Find f '(x) for f(x): 24

A: Given that: f(x)=x224