6. y = 3x²V4x

Q: If f is a differentiable function, find an expression for the derivative of: 2f(x)

A: given that y=2f(x)exdifferentiatee on both side we apply division rulee here

Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

A: Note: Since, in the first function there is a typing error "f(t)", it should be "f(x)" because it is…

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: 41. y = (1+4x)(3+xx²)' 2. s--1)* +1) 43. y=(2x-5) (8x-5) -x-x 42. s =

A: Differentiation of the function

Q: 5. Find y" of 2y – 5x = 3x – 8y

A: 2y-5x=3x-8y

Q: 1. H(w) = 2 cos(w) – 6 sec(w) + 3 H'(w) = %3D

A:

Q: d {(1 — 2г + 3а4)7)} dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 12. a(t) a' (t) b(t) b'(t) -4 2 -3 -4 1 a. f(t) = a(t)b(t) Find f'(-4). b. g(t) = -3a(t)b(t) Find…

A:

Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: VOLUME FUNCTION VTCH)=( ax?T Cax2π 318091 797 %3D 10 500 2000

A:

Q: Find the first and second derivatives of the function. f(u) = V7 - 5u f'(u) f"(u)

A: Given function f(u) = 7-5uWe find first and second order derivative.

Q: Find the derivative of each function. Can you show me the answer simplified and not simplfied?

A: Find the derivative of the following functions

Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…

Q: 2. у%3D (4x? - 6х) сos(2 — 5х)

A: Given function is: y=4x2-6xcos2-5x We have to find the derivative of y with respect to x.