cos (5x-0.1) w(x) =- e*

Q: - g(4)= <F 1 • g(x)= x² +. 5

A:

Q: 2 dx (1+x²)3/2

A:

Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: FInd the derivative.

A: Find derivative of

Q: Find the derivative.

A: To compute the derivatives of the composite functions from the given data

Q: find the derivative.

A: We know that , if Then, by Second Fundamental theorem of calculus, we have

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

A: derivative

Q: (b) g(x) = (1+4x)*(3+ x – x²)®

A: ddxuv=vdudx+udvdxHere u= 1+4x5, v=3+x-x28dudx=51+4x4×4  ,   dvdx=83+x-x27×-3x2g'x=3+x-x28  5 1+4x4 4…

Q: x². y² = x² + y? cot x y = (1+ cot x) y = In(sin 3x) y = x2. e*

A:

Q: What is the derivative of y e3a + 1 3e3 %3D (e + 1) 3e3z (e + 1) O y = 12e6 +3e3 %3D (ed + 1) O y =…

A:

Q: 2. y In csc 3x – cot 3x| CS %3D

A: Given:- y = ln|csc(3x) - cot(3x)| To find:- Derivative of y

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: 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.

Q: Y=esinx tan¹(JX) .

A: Using the product form and chain rule of derivative.