Let f(x) = 3x + 9, let g(2) = Va, and let u = 3x + 9. Thus, f(x) = g(u) Part 1 u = 3 %3D Part 2 1 g (u) = 2Vu %3D Part 3 1 f'(x) = 3Vu

Q: Find y' y= (x2+2)(x-3)

A: Given :                  y = x2+2x-3 Find :               y'

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

A:

Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(9) = 13, f(13) = 3, f'(13) = 12, f'(9)…

A: Given: Let F(x)=f(f(x)) and G(x)=(F(x))2 And f(9)=13, f(13)=3, f'(13)=12, f'(9)=10

Q: Find the third derivative of f(x) = 3√x³-5cosx. 45 O f(x)= 4553 9 O f(x)= - O f(x)= 45 O f(x)= - 9…

A: It can be written as f(x)=3x3/4-5Cos(x)

Q: Find a function f(2) such that f (x) = e + 7x and f(0) = - 1 f(x) =

A:

Q: If f(x) = x(e*+=') , then f'(x) = %3D %3D (A) (e² + æ³) æ(e*+z*-1) (B) (e" + 5æª) In(x) æ(e*+a*) (C)…

A: We have to find derivative of f(x).

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(4) = 11, f(11) = 3, f'(11) = 8, f'(4) =…

A:

Q: Find the domain of the function g(x) = /1 – x ln x

A: We have to find domain

Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

A:

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: compute the derivate

A:

Q: F(x) = (1/x) is equivalent to F(x) = 1 +x F(x) = 1 + x1 a) b) F(x) = x-1 F(x) = 1* c) d)

A:

Q: For f(x) = x2 - 5x + 6, find f(2), f'(2), and f(3) – f(2). a. f(2) = b. f'(2) = c. f(3) – f(2):

A: Given function is f(x)=x2-5x+6 (a) f(2) is obtained by replacing x by 2 in f(x) as follows.…

Q: Differentiate the function. ((5y + 1)3 Vy2 + 1 G(y) = In G'(y) =

A: Solve the following question

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(3) = 9, f(9) = 3, f'(9) = 12, f'(3) = 5…

A: Given functions are Fx=ffx and Gx=Fx2. Also we have given f3=9,f9=3, f'9=12, f'3=5 Differentiating…

Q: Show human working correctly please

A: To find f'(1), we need to differentiate the given function f(p) with respect to p and then evaluate…

Q: F(x) = f(f(x)), G(x)= (F(x))2 f(6)=11, f(11)=2, f'(11)= 14, f'(6)=14 F'(6)= ? G'(6)=?

A: given: F(x)=f(f(x),  G(x)=(F(x))2 f(6)=11,f(11)=2,f'(11)=14,f'(6)=14

Q: f (x) = x5, x = 1/2

A: The function is given as fx=x5

Q: Find f such that f'(x) = 8x + 9x-2 and f(0) =5. %3D f(x) =| %3D

A: Concept : if f'(x) is known for finding f(x) we need to integrate f'(x) with respective x…

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(5) = 11, f(11) = 3, f'(11) = 6, f'(5) =…

A:

Q: Find f such that f'(x)= 8x-9, f(6) = 0. f(x) = b

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² and suppose that f(9) = 13, f(13) = 3, f'(13)=9, f'(9) = 7…

A:

Q: Let h(x) f(x) where f(x) = In(3x2 + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the correct…

A:

Q: 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 + 2)+/3, and (ii) f (x) (x3+2)1/3*

A:

Q: Find f such that f'(x) = 4x – 3, f(4) = 0. %3D %3D f(x) = D %3D

A: Given that: f'(x)=4x-3, f(4)=0

Q: x = sup(A) and if a ɛ A, with x#a , then which of the following statements is Let true? O There is…

A: Given that x is sup(A) . We have to check which of the following statement is true or false.

Q: Suppose that f'(x) = 3x² + 3 – 1 and f(1) = 3. Find a formula for f(x) and then %3D %3D use this…

A: Topic- integration

Q: Differentiate the functions. a) f(x) = 2 – 3x + b) f(x) %3D Зе* + sinx c) f(x) = 3x

A: As per guidelines, we will solve only first three subparts. Kindly repost other subparts separately.

Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: Let F(æ) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 10, f(10) = 2, f'(10) = 3, f'(3) =…

A:

Q: Suppose X and Y are independent variables such that E[X] = 2, E[Y] = 3, E[X^2] = 9 and E[Y^2] = 15.…

A:

Q: f(3) = 5, g(3) = -4, f'(3) = -2, g'(3) = 7, f'(5) = 3, g'(5) = 10 a) If h(x) = f(x)g(x), find h'(3).…

A: topic - functions and derivatives