3 .y = sin³xcosx

Q: Find the derivative of each function. y = 5- cscx h(x) = 2x tan(x) sine cot x g(x) : f(x) = y = 5x…

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Q: sin(3u) 4u

A: Given; Integration of x9sin(3u)/(4u) limit from x5 to x6.

Q: Find the derivative of each expression. - tan-(Vx) tan(e*) sec-(3 In x) dx dx

A:

Q: In y - Р(у) - %3D ey

A: We will use division rule and standard formulas to find required derivatives

Q: a) f'(t) if f(t) = e2sin t – In(t³ + 1) + ve b) if y=x (Use logarithmic differentiation) d) if x-…

A: We have to find the derivatives.

Q: y = 5 tan-1(10x® + 5x°) [log.(x10 + 3x7)]

A: Topic = Derivative

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

A: derivative

Q: Find the first derivative of each function below. Simplify as far as possible. x' +x -1 (a) y (3x² –…

A: Use the product and quotient rule of derivative to simplify. PQ'=PQ'+P'QPQ'=QP'-PQ'Q2

Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) =…

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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…

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Q: sinx f(x) = COSX

A:

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: e of each implicitly. Answer nu

A: We have to derivative the following,  2) xey+xy=xtany ........(1)3) xlnx=y........(2)