Find the derivative. tan x y=2x-3 2 dx 蚊ě dy (2x-3)2 dy sec2x - 2tan x (2x-3)2 116 dx (2x-3)sec x tan x - 2tan x (2x-3)2 (2x-3)sec2x - 2tan x dy_(2x-3)csc²x - 2tan x (2x-3)2 dx

Q: What is the derivative of f(x) = 3ª + 5e* ? ○x3x-¹ +5ex 8ex 3* ln(3) + 5e* 3x +5ex

A:

Q: Calculate G' (-4) to 3 significant figures where G(x) = (-4x – 2)'°(-2x² + 1x + 4) 2

A: Calculate G'(-4) to 3: significant figures  G(x)= (-4x-2)10(-2x2+1x+4)12

Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

A:

Q: Differentiate the following function y = x cos² (3x) cos² (3x)-6x sin(3x) cos(3x) O 2 cos(3x) + cos²…

A: We have to find the differentiation of the equation:    y = xcos2 (3x)

Q: Vx 3+x (g(x)) if g(x) = 3x +2 + S, * ** dx c) %3D

A: I applied Leibnitz rule

Q: f(x) = 5x csc x 7 f (x) = 100 + 2cosx – 3x+x 3.

A: *formula:- d/dx (cscx) = -cscx*cotx. d/dx (x^{n}) = nx^{n-1}. d/dx (cosx) = -sinx.

Q: find the derivative of the function f (x) = 8 arcsin ( 8x²+17x-10 )

A:

Q: f(x)=(16x^3+24x^2+3x) (7x-1)/(15x^3+20x^2+5x) what is the derivatives

A: f(x)=(16x3+24x2+3x)(7x-1)(15x3+20x2+5x) To find derivative we apply product rule and quotient rule…

Q: 5е + 6 Find the derivative of g(x) 4x10 + 6x9

A: Formula used: Quotient rule of differentiation: ddxuv=u'×v-v'×uv2 Power rule of differentiation:…

Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: Differentiate the function. A y = 2x>e²2x + 5xªe2x В У 3 5x (е2%) + бе2(20х3) y = (5xª)(2e²^)

A:

Q: f (x) = (3x^5−4)(tan (1 + x^7)) find the derivative

A: To find the derivative of given function

Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: Use the Product and Quotient Rules as necessary to find the derivative of f(x) = 7x cos(x) %3D (Use…

A: Given: f(x)=7x2cosx Now,       f'(x)=7x2cosx'        =7x2'cosx+cosx' x2       =72xcosx+-sinxx2…