x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B) (x' + 7) (x° – x+ 2)(3x²) – (x² + 7)(5x* – 1) (x' +7) (C) (x'+7)(5x - 1) - (x'-x+2)(3x²) (D) (x² + 7)²

Q: Find + 7)(x – 2)dx

A:

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

A:

Q: What is h′(b) when b=4 and h(x)=(6x)^4x?

A:

Q: 1. 5x²+4x2-5 dx

A:

Q: Find *: (a) 4x°y³ + 2x³y-y-2x-4 0. %3D

A: Given  4x5y3 + 2x3y - y - 2x - 4 = 0 We have to find dydx.

Q: 9x dx VI-9x -/1-9x2 +C -1 arcsin 3x + C + C 3(x3 – 3x)

A:

Q: y = (x' - 2x2 +3) (7x² – 4x)

A:

Q: (x^3 + x^4)dx + 8y^(3)xdy = 0

A: x3 + x4dx + 8y3xdy = 0

Q: 2. у -х3 -Зx? - 2 atx3D1 at x = 1

A: To find the value of this function at x=1

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: y = x2/2x2 + 3 at x = 2

A:

Q: In (x²) esin(2r)

A:

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: 2.) (6x*y+z")² 10

A:

Q: if z1 = i and z2= -(3)^0.5– i find the arguments for the quotient

A:

Q: Find (4z² + 3z")dz -1

A: In this question, we need to find the integral of the given function.

Q: If f(x)= x^2 − 4x − 1  find the following. (a) f(x+a) =  (b) f(a) = (c) f(x+a)−f(a) = Note x^2…

A: Given that:f(x)=x2-4x-1

Q: Let f(x) = -6x4√√x + f'(x) = -2 x³√√x

A:

Q: let y = -3 x¹-2x, find y' -12 x4-2 -12 x³ -2 Onone of these answers O-4x³ - 2

A: Given: y=-3x4-2x

Q: (2x–1)4 y = (a²+1)³ ,3 y = xe*°

A:

Q: Evaluate 2x-4 (x-3)(x-1)(x+3) -dx

A:

Q: 192) Find la(21)=?

A: Note the logarithm property : logaxy=logax+logay where x,y>0 and a>0 ,a≠0 . logaan=n ; where…

Q: Compute f 3 2 x-5x+6 dx.

A:

Q: y= Sinh (3x+5x+6) 2. %3D

A: We have to find differentiation of the given function.

Q: x²dx 3 2 3 (5-x') 2.

A:

Q: 2. Prove that d [(2x+1)³] (2x+1)³(4x-19) (x-3)² dx = Then, -5 (2x+1)(8x-38) 3(x-3)² dx.

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.