11. Use the quotient rule to find the derivative of -7sin(x) + 10 6x7 – 1

Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: Use the u-substitution to find the anti-derivative of m'(x)= 1/xln(x)

A: solution :- antiderivative is the integration  So put ln(x)  = u Then (1/x )dx  = du And then…

Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: Use the product rule to find the derivative of the following.: . y = (3x2 + 2)(2x - 1)

A: The given function is   y = (3x2 + 2)(2x - 1)

Q: 5. Find the derivative of ƒ(x) = 3x² + 7x + 4 using the difference quotient, then compute f'(2).

A:

Q: Find q′(x) from q(x)=−5x3+x2−3x−3 using the definition of a derivative. (Do not include "q′(x)=" in…

A: Express the mathematical expression for the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Given…

Q: Find the derivative of z² + 5 (à). f(x) 12-5

A:

Q: of n'(x)= 2x-1/x2-x

A:

Q: Use the product rule to find the derivative of the following. : y = (5x2 - 1)(4x + 3)

A: Given: y=5x2-14x+3 Product Rule: f.g'=f'.g+f.g'

Q: зах (х+2)/x2+4x+3

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the derivative by using the quotient rule. 3x-2 (a) 2x +3 Jx +2 (c) x2 3+2x (b) x² +1 (d) *+2

A: Given: a)  3x−22x+3b)  3+2xx2+1c)  x+2x2d)  x+2x

Q: Find the derivative of h(x)=(−2x+4)7/(3x−5)5   You should leave your answer in factored form. Do not…

A: The first derivative of the function h(x) = (−2x+4)7/(3x−5)5 is calculated as follows.

Q: What is the derivative of p(x)=(2x^4+2)^x

A: Using logarithmic differentiation we can find the derivative of the given function.

Q: Find the derivative of h(x)=(3x+4)3 / (−3x−2)4 You should leave your answer in factored form. Do not…

A: To find the derivative of the given rational function

Q: Find the derivative of the followin 1 y%3D (x² - 3) (x² + 3x + 3)

A:

Q: 16. Use the limit definition of the derivative to find the instantaneous rate of change for the…

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Proceed as shown below

Q: In(3x) Find the derivative with respect to x of y 3x

A: We will use the quotient rule of differentiation to find the derivative of y. Chain rule of…

Q: N or 8x 5 y 3= . 4x 2

A: Given function is y=8x+54x-2 To find derivative of the given function. Solution: Quotient rule of…

Q: What is the derivative of * 3 = 4.x2 + 2y3?

A: We have to find the derivative of 3=4x2+2y3.

Q: 23: USE THE DEFINITION OF THE DERIVATIVE to find the derivative: :9(x)=3

A:

Q: 1. Evaluate the derivative of f (x)= sec(In(x²)). DO NOT SIMPLIFY.

A:

Q: Use the the derIva tive rule to find derivative of Y= 2x3 -1 X-1 メ 6x -5 X² +1

A:

Q: B. Use the product and quotient rule to get the derivative of the following 4. Y= 2x-1/ x+2 5. f(x)=…

A:

Q: f(x) = 2x²-4x x²+1

A: Given :fx=2x2-4xx2+1

Q: Find the anti-derivative of  s(x)=−7x2.  (Do not include the constant C in your answer.)

A:

Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

Q: 2) Usc the product rule to find the derivative of y= (4x+5) (x² 2x)

A: The given expression is : y=4x+5(x3-2x)             …(1) If y=uv Applying product rule on above…

Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

A: Topic- derivative

Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: 1. Determine the derivative of: f (x) = 4x3 – x² + 5x + 9 %3D -

A: We need to find the derivative of the given function.

Q: 9. Use the definition of a derivative change of the functions below at f(x)% = x² + 2x

A:

Q: What is the first derivative of p(æ) = In (4x3 + x² +1)?

A: Given function is p(x)=ln4x3+x2+1

Q: Use the Definition of Derivative to find the derivative of y = 6x^2 + 3x.

A:

Q: #12) Find the derivative of the function f(x) = 35x2-1

A: The solution of the problem is given in the next step.

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

A:

Q: What is the derivative of f(x)=4/3x^5/4 at the point x=4?

A: we using derivative nth degree formula to compute derivative

Q: 2. Use the definition of the derivative to find f'(7) if f(x) = 4 + 3x – 2x.

A:

Q: 6.) Find the derivative of the fonction 2 8- g'cx) =

A:

Q: 7. If h(x)=|2x- 3, what is the value of the derivative at x = -2?

A: According to the problem we have

Q: 2. Find the derivative of f (x) = (3x – 2x? )(5 + 4x) using the product rule

A:

Q: (4) Find the derivative of h(x) = 5x³esec(x) .3 %D

A: We need to find the derivative of

Q: 1. Find the derivative of the following. f(x)=13x* -7x²+5x²+11x+75 a.

A: Formulas:ddx(a f(x))=a ddxf(x)ddx(xn)=an xn-1ddx(a)=0;  where a is a…

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

A:

Q: 27. Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Derivative of the function f(x) is given by

Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh

Q: What rule should be used in getting the derivative of a.)y = x^8 + 2x^6 - x^3 - 4x  b.)…

A: a) y=x8+2x6-x3-4xb) y=2x5+x-3x3c) f(x)=1-2x2

Q: Find the derivative of y: y = 7sec 6 In 7

A: See the details solution in below