x2 – h(x) = (v2)** A.h' (x) = 2x In2(V2)* B. h'(x) = x In2(v2)* %3D x² %3D C. h'(x) = 2 Inx(v2)* D. h'(x) = x In/2(v2) x2 %3D

Q: y= cosV1- x y' = V1-x² ² y' = 2v1- x² y' = 2va- x2 y' = Vx-x* 1 y' = 2Vx-x2

A:

Q: y=5(x^(2)+3)^(5)+9(x^(2)-1)^(2x) then (dy)/(dx)

A:

Q: 3) f(x) =9x/チxー3 %3D

A:

Q: Find f '(x). f(x) = /4 – 9x f '(x) = Find f '(x). f(x) = x° (2.3)* f'(x) = Find f '(x). -11x f(x) =…

A: To find the derivative of the following functions

Q: Find f'(a). 1 f(x) = Vx + 9 f'(a) =

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: fx=1x+9 So, we…

Q: Find f'(a). f(x) = 2x2 – 5x + 2 f'(a) =

A:

Q: x' + 4x x' - 2x2 – x+2

A: We  have to evaluate the integral.

Q: Find f'(x) and f'(c). Function f(x) = (x³ + 4x)(7x² + 5x − 6) f'(x) = - f'(c) = = Value of c 0 = 5

A:

Q: y y' + (2х + 3у) = 0 y(x) = ? =>

A:

Q: Find f'(a). f(x) = 2x2 – 3x + 2 %3D f'(a) = %3D

A:

Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

A:

Q: L'{F}; Determine s+11 F (s): %3D (s-1)(s+3)

A: Topic = Laplace Transform

Q: f'(x) %3D 6х — 3/x*, х> 0, f(1) %3D7 - f.

A:

Q: (6x* +9x +4)5 h(x) = + 9x + %3D 5x-3-6x +6 h'(x) = || %3D

A: Given that     h(x) = [(6x4+9x+4)2/3]/(5x-3-6x+6) We have to find the derivative of h(x).

Q: wirte 13/3 as a mixed number

A:

Q: Find g' (6) given that f(6) = = 3 andf'(6) = 6. Enter the exact answers. (a) g(x) = 7x- 6f(x) g'(6)…

A: The given problem is to find the value of g'(6) for the given 2 functions  we are given with other…

Q: Find g' (5) given that f(5) = – 3 and f' (5) = 6. Enter the exact answers. (a) g(x) = 6x² – 5f(x) g'…

A: (a) The given expression of the function is: g(x)=6x2-5f(x)      ...(1) Given, f(5)=-3 ; f'(5)=6

Q: (6x? - 6x +: -5x3 +9x+ 6 +5) h(x) %3D h'(x) = || %3D

A:

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

A:

Q: Find f '(x). f(x) = In (6x2 + 5)

A: Question 1,Given,           fx=ln6x2+5

Q: Find f'(x). 4 f(x) = 5x – In x f'(x) =O

A:

Q: Find f'(x). Vx- 19 f(x) = e %3D

A: Given,            f(x) = ex-19

Q: Find g' (3) given that f(3) = – 5 and f' (3) = 10. %3D Enter the exact answers. (a) g(x) = 4x² –…

A: Given,           f3=-5 and f'3=10

Q: 1 64 + 4f(1) + 7z²(f(x))* = 0 and f(1) = -2, find f'(1).

A: Given:

Q: Find f'(x). f(x) = (x2 + 3x)(x + 5) f'(x) =

A:

Q: First find f' and then find f. f"(x) = 4x – (10x + 6x?) +10, f'(1) = -4, f(1) = –1. %3D f'(x) = %3D…

A:

Q: dy/dx=(10+17x)/xy^2   y(1)=3

A: Rewrite the given equation as follows.

Q: 2 1 dx (3+5x}

A:

Q: Evaluate the integral. -1 4 6y5 dy + -2

A:

Q: If f(x) = x2 - Vx + 2, find f'(x). %3D f'(x) = %3D

A:

Q: Find f'(x) if ef(x) = 1 + x². 2x f'(x) = 1+x2 s'(x) = 2x(e+**) Option 2 Option 3 f'(x) = 2x(1+ x²)…

A: The given function is ef(x)=1+x2

Q: F(z) = z+7 %3D f(z) = F'(z) %3D f(x) dx =[

A: we know that  ∫ F'xdx=Fx

Q: х — х* - 3х - 2 X | dx x* - x'+ 4x – 4x 3

A: