2. Use the derivative rules to differentiate the function. Simplify fully, Write final answers with positive exponents. f(x) = 3x-4 %3D V3x-4

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

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

Q: Find the derivatives of the functions in Exercis

A: Given: y=1183x-26+4-12x2-1 To 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…

A: The given function is h(x) = (3x+4)3/(−3x − 2)4. Rewrite the given function as h(x) = (3x+4)3/(3x +…

Q: Find the derivative of the function and then evaluate at the given point. y= 2x - 5x; (- 1,7)

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. -4 4/6 3 f(x) = - 3xVx +…

A: To find: The value of the derivative fx=-3xx+2. Formula used: Product rule of differentiation:…

Q: Find the derivative of the given function. 3-2х y = 3+2x

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of the algebraic function.

A: To Find the derivative of the algebraic function. f(x)=x2+5x+6x2-4

Q: What is the derivative of f(x)=−3? Do not include "f′(x)=" in your answer. For example, if you found…

A: Formula:The derivative of a constant function is zero.

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: Find the derivative of the function. Express the answer using positive exponents only. y = (x2 −…

A: given function is:

Q: Find the derivative of the function by using the Quotient Rule. Simplify your answer. x2. - 4x + 3…

A:

Q: Find the derivative of the function.. 8 7 h(x) 218 4 х - h'(x)=

A: To find the drivative of the given function y=h(x)

Q: Find the derivative of the function. 4x +7 y = 3

A: Quotient rule: ddxfxgx=gxddxfx-fxddxgxgx2

Q: Calculate the derivative of the following. Show your complete solution. A. y = (x*- 3x² + 5x) 3 %3D

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the derivative of the function and then evaluate at the given point. y = 2x - 3x; (- 1,5) f'(x)…

A: f'(-1) = - 7  The detailed solution is as follows below:

Q: Find the derivative of the following: y = (2x + 3) (3 – a²)

A: Given, y=(2x+3)(3-x2) To evaluate derivative of y

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: Can you help me step by step?

A: The given function is,

Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y…

A:

Q: Find the derivative of the function

A: Given function:

Q: find the derivative of the function.

A: Here given as gx=3x-5 or   gx=3x-5x>535-3xx≤53

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 function. 7 q = = Vx' - 2x

A:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: given,        fx=1-2x4x+5

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Consider the provided function, fx=4x+13x-6 Find the second derivative of the function and then find…

Q: Find the derivative of the function y=√4-3x.

A:

Q: Find the derivative of the function and then evaluate at the given point. y 3x2-4x; 1,7)

A: To determine the derivative of given function and then evaluate at the point (-1, 7).

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of the function   in two ways: by using the Quotient Rule and by…

A: x4−5x3+xx2 Given function f(x)=ddx[x4−5x3+xx2] Recall Quotient Rule  ddxxy=ydxdx-xdydxy2

Q: b) f(x) = (e* (Inx² – 3))*

A:

Q: Find the derivative of the function. 3.4 q = Vx' + 3x + 3x

A: Given function is

Q: Find the derivative of the function. g(x) = 2(3 – 7x) g'(x)=

A:

Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.

Q: Find the derivative of f(x) = -4x 3+4 Provide your answer below: f'(x) = D

A:

Q: Find the derivative of the function. h (x) = x (4 + 4x)

A: Given : hx=x4+4x

Q: Use the appropriate Derivative Formula for the algebraic function below. x2+1 2. y = x2-1

A: y=x2+1x2-1In this we use quotient rule QUOTIENT RULEy=uvdydx=v.dudx-udvdxv2apply this rule in given…

Q: Find the derivative of the irrational function y=2√x−33√x.

A: Given: y=2x-33x

Q: Find the derivative of the function. q= 5 3 x + 6x

A: The given function q=x3+6x5

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

A:

Q: b) Find and simplify the derivative of the function below: y = x°(3x² + 1)*

A: Use the chain rule and power rule of derivative and simplify the result.

Q: 3. Determine the derivative of each function using the most appropriate notation. (a) y = x³ – 4x² +…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: Find the derivative of the function. g(x) = ∣3x − 5∣

A: We have to find the derivative of the function, g(x) = ∣3x − 5∣

Q: Find the derivative of the function. F(x)= 1-6x

A:

Q: Find the derivative of the function. g(x) = 2(3 - 8x)

A:

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: a) Use the definition of the derivative to find f '(x), given f(x) = 4x² – 1.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: et g(æ) 5x – 4 ='(x) =

A:

Q: 4 b) g(x)=15x* In x

A: Given that, the function is gx=15x4 lnx.