Hnd the Derivatives fCX)= (X2+1 )3(12 F(X)=1X X3 2x+ 8 f(x) = (X3 +3x2)3 +3 xt

Q: (3x – 4)8 Find the derivative of 9(x) = (4x² + 3)

A: Quotient rule of differentiation:

Q: Can you help me step by step with this problem?

A: To find the first derivative of the function given below.

Q: If f(x) = 2x and g(x) = 3x4 - 1. Find the derivative of the product (f×g)(x). 30x 30x4-2 30x³ - 2…

A:

Q: Find the derivative of the function. f (x) = = 4 %3D 12 - 12 - x2 0 4

A:

Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ +…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: 2. Find the derivative of (a) f(x) = x4 +2x-2 + 4ex

A:

Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

Q: 2. Find the first 3 derivatives of y=x* – 5x3 + 7x – 10 a. First Derivative b. Second Derivatives c.…

A:

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 SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM y= e3x-e-3x/e3x+e-3x

A: Second derivative of a function.

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: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

A:

Q: f(x)=(8x-1)(x2+4x+7)(x3-5) find the derivatives

A: fx=8x-1x2+4x+7x3-5 On simplification, we get…

Q: 3. f(x)=(2x^2)(3x^2-x+7) 4. f(x)=-3(2x+7)^5   Need to find the derivative.

A: 3. Given function is Differentiating with respect to x, by using product rule of differentiation…

Q: The derivative of x- 1 is -2 1 + A -2 1 B -2 1 C -2 +1+ D -2 1 + E

A: Let's find.

Q: Q.2. Find the Derivative 5 g(x)=12x4 -6/x+ a) g(x)=(x² – 5)(x³ +3) h)

A: Q.2 Find the derivative.a) gx=12x4-6x+5xb) gx=x2-5x3+3 Formulae to be used…

Q: Find f' (x) using the rules for finding derivatives 4x2 – 7x +1 f(x): 2x + 9 f'(x)=O

A: To find The derivative of f(x)

Q: Q. 6. Consider f (x) = -* + 2x + 1. x3 3x2 3 Use derivatives to separate the regions where function…

A: If f′(x) > 0, then f is increasing on the interval,and if f′(x) < 0, then f is decreasing on…

Q: 6. Find the derivative of y= 2x² (3x - 4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative:…

A:

Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

A:

Q: Find the derivative of the function. 8x -8x y = -8x Bx + e -&x 8e&_ 8e

A:

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

A:

Q: V². Find the derivative of f(x) = In x² +1 %3D x(2r - 1)2

A: Derivative: f(x)=lnx2+1x(2x3-1)2ln(mn)=ln m-ln nln(x2+1)=12ln(x2+1)

Q: Find the derivative of the function. 4 2x - x2 f(x) = %3D x2 - 6 f'(x) =

A: given,        fx=-x2-2x+4x2-6

Q: 3x- 7x -4 Find the derivative of y = 2 O A. y' = 9x2 +8x-3 O B. y' = 18x2 + 8x-3 OC. y'= 9x? + 8x³ -…

A:

Q: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: -3- 6. USE THE ALTERNATIVE FORM OF THE DERIVATIVE TO FIND THE DERIVATIVE (IF IT EXISTS) OF f(x) = x²…

A:

Q: Find the derivative of the function. x3 y -1 -2x3+3x2 y's (x- 1)2 y'= 2x-3x2 (x-1)2 y'= 2x3+ 332 (x-…

A:

Q: Find the derivative of C(x)=(2x3)/(3x4+2

A:

Q: 33. Find the derivative of f(x)= (3x-2x?)ª 1. 3(3x-2x²)² II. 3(3x-2x³)² (3-4x) II. (3x-2x?) (3-4x)…

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find the first and second derivatives of f(x). f(x) = 3x – 4x + 2 f'(x) = 2 9x – 4 f''(x)

A: Recall: dxndx =nxn-1.

Q: Find f (x) using the rules for finding derivatives 4x f(x) = -7x+ 1 %3D 3x +2 f'(x) =

A:

Q: 6. Find the derivative of y= 2x² (3x - 4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative: f(x) =…

A:

Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

A: The given polynomial function is px=x+x5+x7101+x211x3+x5+x7 We have to find the hundredth derivative…

Q: 2. Find the derivatives: (a) f(x)=(x² - 2x+1) (x² -1) x+2x+5 (b) f(x): %3D x² +1

A: Part (a) Given a function Using product rule of the derivative

Q: 3.) y = e2x-3 3.) у 3

A: The derivative of some general functions are, ddx(ef(x))=ef(x).ddx(f(x)) Product rule of derivative…

Q: 10. Find f'(x) using the rules for finding derivatives 4x - 7x+3 f(x) = 2x +9 f'(x) =.

A: Explanation of the answer is as follows

Q: 2. (- 2x Find the derivative of h(x) %3D 2x + 3

A: We have to find the derivative of the function: hx=-2x2x+32 We know that square of any negative…

Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…

A:

Q: 2x Find the derivative of h(x) 2x + 3

A: Given:  Function  h(x)=-2x2x+32

Q: Test f(x) = (x3/3) +2x2-5x+1 for relative extrema, using the second-derivative test where possible.

A: For a given function,f(x), at relative extrema x=a, f'(a)=0.The second derivative test is applied to…

Q: Q:5 Find the derivative of f(x) = (5x² -3)(3x - 2) at x 2.

A:

Q: Q 6. Find the derivative of (3x2-2x)2 using the product rule and the chain rule.

A:

Q: Find the first and second derivatives of f(x). f(x) = – 3x³ – 7x + 2 f' (x) = f''(x) =

A:

Q: .4 In(12x + x), the derivative Given g(x) = g (x) is 12x4 + x 48x3 + 1 48x +1 12x4 + x 4x3 48x³ + 1

A: Given,  gx = ln12x4+x  We have to find the derivative g'x .

Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

A:

Q: Find the derivative of the function y = In(x /x² + 14 X Vx²+14 1 Vx²+14 1 x²+14 x2+14

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: 4x Find the derivative of f(x)= In- 3x+2

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find Higher Order Derivative: f(x)= x5-16x3 - 1/x; f''(x)= ? O 20x3 - 96x - 2x(-3) O 60x2 - 96 +…

A: The given function is: f(x)=x5-16x3-1x

Q: Find the derivative. 8) y = (x + 1)2(x2 + 1)-3 A) - = 2(x+ 1)(x2 + 1)-4(2x2 - 3x - 1) B) Y =-2(x +…

A: