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: 1 Y(s) 4 5s2 S

A:

Q: If f(x) = f'(x) = ƒ' (3) = 6x + 7 2x+6' find:

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'(x) for f(x) = (x² +4) sec(x) f'(x) = x^2secx+tanx+4secx tanx+2x secx %3D

A:

Q: Find f'(x) and f'(c). Function Value of c x2 - f(x) = 4 C = 1 %3D X - 7 – 14x + 4 f'(x) = %D (x- 7)2…

A: Given:- f(x) =(x2 -4)/(x-7)  To find:- f'(x) and f'(C) where C=1

Q: f(x)= (x+2)² (x - 1) f'(x) = 3x(x+2) %3D f"(x) = 6x +6 %3D

A:

Q: - Find f '(x). f(x) = - 3 In x+ 11x² - 9 f '(x) = . Find f '(x) f(x) = -9-5x + 4 ex f '(x) = . Find…

A: Solve for the derivative

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

A:

Q: Find f '(x). f(x) = (2 + In x)® f '(x) = %3D Find f '(x). f(x) = /x + 6 f '(x) = %3D Find f '(x). 8x…

A:

Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 5x³ + 3x² + 9x %3D f'(x) =D f"(x) =

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: f (x) = arctan(e") ad f'(-1) =? find %3D 28 - O A) 1/(e+e3) O B) (e2)/(1+e2) (e2)/(1+e) O D) e/(1+e)…

A: Explanation of the solution is given below....

Q: et ● t'(x) = 805x4 (x),1 O %3D O t'(x) = 80(e)-(e*)(5x4) (x),1 e2r e2x ((*(-(,r5)(,2) 08 = (x),1 C…

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: Find f'(x) if f(x) = e3In x². f'(x) = 6x5 f'(x) = (61n x)e3 In x2 Option 3 Option 2 f'(x) = 5x*…

A: The objective of the question find the derivative of given function.

Q: Find f '(x) and f '(c). x + 2 X-4' f'(x) = f(x) = (-4x+2) 1-x f' (9) = 4.25 X c = 9 X

A:

Q: Find f'(x) and find the value(s) of x where f'(x) = 0. X f(x) = x + 16

A: fx=xx2+16

Q: Find F'(x) given F(x) = f ³² z S³ z³ dz. <-3x ○ F¹(x)= 54x³ ○ F'(x)=0 ○ F'(x)=81x³ ○ F'(x) = 162x³

A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

Q: f(x)=9x-x^2 f'(0)= ? f'(1)=? f"(2)=? f'(3)=?

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), f'(x), and f (x) for the following function. f(x) = 6x + 3x? + 4x %3D f'(x) = 18x + 6x+4…

A: The given function is fx=6x3+3x2+4x. Differentiate fx with respect to x.…

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: Find g' (5) given that f(5) = - 4 andf' (5) = 8. Enter the exact answers. (a) g(x) = 6x² – 5f(x)…

A: We know that; The Power Law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-f·g'g2   (a). Given: gx=6x2-5fx

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

A:

Q: Find f'(x) for f(x) = e* - 5x.

A: Given : fx =e4x2-5x

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

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: for g(t)=t^4-t/2t+5 find dg/dt { t=2

A: Given the function is g(t)=t4-t2t+5 To find dgdt  at  t=2

Q: f(x) = In (8x + 2)(3r - 6)

A: