Show that X. dt f(x) J3 V1 + t4 is one-to-one. f'(x) = Since f'(x) O for all x, f is increasing v on (-0, o). Thus f is one-to-one. Find (f-1)'(0). (f-1)'(0) =

Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) > 0 and f"(x) <…

A:

Q: Find f such that f'(x) = f(4) = 20.

A:

Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

A: Given f(x)=6+4x-5 The objective is to find f-1(x).

Q: Suppose that f(-5) = 0, f'(-5) = 4, f(8) = 9, f'(8) = 6, g(8) = -5, and g'(8) = 4. Compute (f o…

A:

Q: Find f such that f'(x) = x² + 4 and f(0) = 9. f(x) =

A: The given function is .The aim is to find the .

Q: Differentiate the following function: VP - 4V U = u =||

A:

Q: Let f(x) = – 5 In(7x) f'(x) =

A: Given,           fx=-5ln7x

Q: Let S(x) = 4x$ (x' – 6). Evaluate the following specific values of f: (A)(2) = (B) (4) =

A: The objective of the question is evaluate the values.

Q: Suppose that f (0) = 2 and f'(x) 0. Show that f(4) 0.

A: f(0)=2   and f'(x)≤3  for all x&gt;0 ⋯(i)integrate (i) w.r.to x ,we getf(x)≤3x+kput…

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: If f(t)=(t^2+4t+3)(5t^2+6). find f('t) and f'(3)

A: Given: f(t)=(t^2+4t+3)(5t^2+6) find f('t) and f'(3) = ?

Q: Suppose that Find f'(x). f'(x) = = f(x+h)-f(x) = 6hx - 4h +8h².

A:

Q: Find f'(a). 1 f(t) t2 + 5

A:

Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: let f(2)=3, f'(2)=4,g(2)=3,g'(3)=2. find (g o f)'(2)

A:

Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59

Q: Find f such that f' (x): f(4) = 40. f(x) =

A:

Q: Find f such that f'(x) = 8x-9, f(7) = 0. f(x) = 0

A: f'(x)=8x-9, f(7)=0

Q: 8 f'(t) dt 24, what is the value of f(8)? If f(3) 12,f is continuous, and 3

A: Given,

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

A:

Q: Find (f-')'(@). 3 f(x) = x + x < 0, a = - 4 (f-1)'( – 4) = Preview

A: The given function is f(x)=x+3x and a=-4

Q: Suppose f(x) = 6t²√1+tº dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

A:

Q: let p(x)=g(f(x)). use the given table to find p'4

A: p(x)=g[f(x)] diff. w. r. to x p'(x)=g'[f(x)] . f'(x)  ..................(1)

Q: Find f such that f'(x)=x²-4 and f(0) = 5. f(x) = 0

A: f'x=x2-4

Q: Cet f(x): f'(12) = 4x - 3 5x67 Evaluate f'(x) at x = 12.

A: f(x)=4x-35x-6d dx(ab)=bd dx(a)-ad dx(b)b2d dx(xn)=nxn-1

Q: Let f(x) = √5x² + 3x + 7 f'(x) = f'(2) =

A: