Given f'(0)t and g'(0) = 2. Calculate h'(0) given h defined as follows: f(x) g(x) - sin x) h(x) 2Tt а) h'(0) %3D 0 T+2 b) h'(0) 2TT T+1 с) h'(0) 2TT d) h'(0) does not exist

Q: Determine the equation of the tangent line for y = sech(In x) + tan-(x²) tangent at x = e*. A. Yr =…

A: The equation of the  tangent line for the function f(x) at the point x=a is, y-fa=f'ax-a. The…

Q: Find f. 4 3 f '(x) Vx 45e sec2 f(0) 11 х, = f(x)

A: To find the function f.

Q: = In (2x) + cos (6x)

A:

Q: f(x) = 3x² - 2cos(x) find the equation for f'(x).

A: Consider the fucntion

Q: 3. Find f(x) if f'(x) = sec²x - sinx and f(TT/4) = 1. %3D %3D

A: Given: f'(x) = sec2x -sinx  To find: The value of f(x)  and  fπ4.

Q: Find (f/g)'(1) if f (1) = f'(1) = g(1) = 2 and g'(1) = 4.

A: we have been given f (1) = f'(1) = g(1) = 2 and g'(1) = 4.

Q: Find h' (1) for the function h(x) = f(x)f(x). h'(1) = f(1) = 5 and f'(1) = 1.

A:

Q: 3. If f(x) = sinx ex find f'(0).

A: fx=sinxex

Q: 4)* Find the derivative of f(x)= Arcsecr. %3D f'(x) = 4 rv.r* O None of the above O Option 4 f"(x)=:…

A:

Q: .) The instantaneous rateof change fucntion of f(x) = 4x² - 2x + 8 or the derivative of f(x) is: a.…

A: Given that: (i) f(x)=4x2-2x+8(ii)f(x)=sin x

Q: Find f' where f(x) = ln(x²-2x)

A: We have to find  for the following functionWe know that

Q: If h(x) h'(1) = 25 = 3+2f(x), where f(1) = 3 and f'(1) : × = 5, find h'(1).

A:

Q: Find 1 h'(1) if h(x) = g(f(x)), g(x h'(1) = = x + 1 X-1 and f(x) = In(x).

A:

Q: Use the information in the table to find h'(a) at the given value of a. h(x) = (- 2 f(x) ;a = 3 g(x)…

A:

Q: Suppose F(8) = 5, F(9)= -23, and - 9 f6f (x) d Your Answer: Answer dx= F'(x) = f(x).

A:

Q: If f(x) = (x+1)/(x-1), where x # 1, determine f '(1). %3D

A: derivative of fx=x+1x-1 at x=1

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Differentiate given function at given value

Q: Determine the set of values x for which the given function is differentiable. (a) f(x)=x² +4x (b)…

A:

Q: Find h'(x) given that h(x) = Vx² +1

A: To do this problem we need chain rule  Chain Rule (using ’ ) f'(g(x))= f’(g(x))  g’(x) We will use…

Q: 3. Find the derivative of y with respect to x in the following functions : u? a) y= u² +1 18x' y'…

A:

Q: f(x) glx) f'lx) g'ix) 1 3 2 4. 6. 2 5 7 3 7 2 7

A:

Q: Let f(x) = 4x - 32√x and a = 4. Compute f'(x) and find an equation for the tangent line to the graph…

A:

Q: x/f(x) 10. Given h(x) If f(2) = 9, f'(2) = 4, g(2) = -1, g'(2) = -3, calculate h'(2). g² (x)

A:

Q: f(x) = tanh(6x) then f'(x) =

A:

Q: Q.No.3. (a) Find y' (1) x/2 + 2 y = (b) Find f'(x) (x2 +1)Cotx f(x) 3 — Сosx Cscx

A: Given that  The equation  To find the derivatives of the function