5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

Q: 16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x)…

A: Given,

Q: Use the Generalized Power Rule to find the derivative of the function. h(z) = (8z2 − 6z + 7)4

A: Given function is as below

Q: Use the guoetient rule to find the Derivative of ww wwwww (Ctrl) - 3- 2x h(x) = 3+ 2x -12-8x -12 J…

A:

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 second-derivative test, if possible, to find relative extrema of y x5 – 5x. -

A:

Q: find the derivative using the appropriate rule or combination of rules. y = e(x2+2x+3)2

A:

Q: Find the derivative of h(x)=(−2x−5)6 /(2x−3)3   You should leave your answer in factored form. Do…

A: Calculation:The given function is h(x) = (-2x-5)6 / (2x-3)3.Obtain the derivative of the function…

Q: Use the limit definition of the derivative to find the derivative of the function 3x – 7 f(x) = %3D…

A: The function f(x)=3x-75x2+1. We have to find the derivative of the given function using the limit…

Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

A:

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

A:

Q: Use the Chain Rule to find the derivative of the function. y = (2x2 − 3)3 y' =

A: The chain rule to find the derivation is,

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

A: Given, q(x) = -5x3 + x2 -3x -3  Differentiating q(x) with respect to x  d[q(x)]/dx = q'(x) q'(x) =…

Q: ii.) Find the derivative of f(x) = x°(2x* + 5x³ – 3)5 when x = 2. %3D

A:

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: Compute the derivative using derivative rules. y = (9 - (5 - 2x4)7)3

A: Given : y = (9 - (5 - 2x4)7)3   To find the derivative.

Q: 2) NOT use the short cut method). Use the result to find the slope of the tangent line at the point…

A: Topic:- Derivative

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 w = z^7-5z^6+10

A:

Q: find the derivative using the definition g(x) = 2x2 + 1

A:

Q: 2x² 9 x2

A:

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 using the appropriate rule or combination of rules. y = (2e3x + 3e−2x )4

A: Given expression

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

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: 6. Use the quotient rule to find the derivative x - Vx y x + Vx (а) 8x2+ 2x y = x - 1 (b) 4х — 1 (c)…

A:

Q: use the chain rule to find the derivative of function 3 5t² 3t²+2

A:

Q: the derivative rules to find the dervative of y. Use y= (9-x²)% y = : 13-2x y= V9x2+ 2x+7 y=…

A:

Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

A:

Q: B. Apply the quotient rule to find the derivative 1. y 4-7x 3. y = 5- 3x

A: From the quotient rule of derivative we get Let,  y=uv where u and v is function of x then dydx=…

Q: the product rule is not needed to find the derivative of y = 3(x² – 2). the quotient rule is[not…

A: Product rule: If we are given a function of the form: f(x)·g(x), we can find the derivative of this…

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: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

A:

Q: 8. Find the derivative of the function fx) = x? - 10x + 3 using First Principles.

A:

Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

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: Use the derivative rules to find the derivative of y = (2x-7)? y = (3x²+1)" y= 3x(4-9x)4 y=(3+x)²…

A:

Q: 1. Use the definition of derivative to find the derivative of (a) f(x) = (x + 1)² 1 (b) f(x) =…

A: The solution are next step

Q: Use the definition of the derivative to show that the derivative of y = f(x) = 2x² is f'(x) = 4x.…

A: Given that: y=f(x)=2x2

Q: 5. Using quotient rule, find derivatives for the following functions. 8x +1 y = 2x ? +3 а. 4x? +1 b.…

A:

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

A:

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

A:

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

A:

Q: 3. If f(x) = 2x² + 3x find f'(a) by using definition of derivative at a point a=4

A:

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: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132

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

A:

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

A: Here we use the alternative form of the derivative to find the derivative at x=c Where…

Q: 5л? + 3х — 14 (а) f(*) %3D 5х — 4 6x² + 4/x (b) f(x) = %3D

A: