Chapter 4] If f(x) = dt, where g(x) = 1," (÷) V1+t3 [1 + sin(t²)] dt, find f'

Q: Q2/ A/ Show that the functions f(x) = sin-1() and g(x) = 2tan-Vx, have the same derivative. %3D

A: Given : f(x)= sin-1 ( x-1 / x+1 ) g(x) = 2 tan-1 (√x)

Q: Show that the derivative of FOx) =x² is f'x)=2x using the defimition

A:

Q: Find the derivative of g u g(x) (2)=√1² +38 du u 5

A:

Q: Find f'(r) if f(x) = %3D 2r + sinr

A: Given: f(x)=e7x2x+sin3(x)

Q: Compute the derivative of f(x) = (sin x)v , 0 < x < T.

A:

Q: Let f(x)= X cos (x). compute f'(2)

A: The answer is given below

Q: What is the third derivative of f (x) = a + cosæ?

A:

Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

A:

Q: DERIVATIVE

A: We have to find the third derivative of  given function

Q: If f(r) = 3 sec(8x), find f'(r)

A:

Q: what does f'(m)= ?

A: We need to provide meaning of f'(m).

Q: 2) s(t)=5e" (3r -51)

A:

Q: What is f'(0)?

A:

Q: Let f (2) = – z). (7z+ 10) (i

A: