Find the derivative of the function. HINT [See Examples 1 and 2.] f(x) = 4x0.5 + 9x−0.5

Q: How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

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Q: Find the derivative of the function. h(s)= -2√3s² + 2 h'(s) =

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Q: 3. Find the first and second derivatives of the function f (x) = e¬²

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Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: 5. Consider the function { Va if 01 f (x) = What is the derivative function for f(x)? What is the…

A: The given piecewise function is  f(x)=xif 0≤x≤112x+12if x>1

Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

A: A detailed solution is given below.

Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

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Q: Find the derivative of the given function at a given number. 1. y = 3x² - 2 at f'(1)

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Q: 2x+1 Find the derivative of y= 2x-1

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

Q: Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: Given problem:- Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a…

Q: e first derivative for the +1)(x +2) 2)

A: Find the first derivative. y=(x+1)(x+2)(x-1)(x-2)

Q: second derivative of  y=x(x-4)3

A: Given function is y = x(x – 4)^3. Differentiate with respect to x on both sides.

Q: True or false? A function does not have a derivative at x if its left hand derivative is not equal…

A: True or false for the given statement A function does not have a derivative at x if it's left hand…

Q: 1. Please use this formula in finding the derivative of a given function. (. b. Find the derivative…

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Q: step by step Use the chain rule to find the derivative of  F(x)= sin (cos(2x))

A: Differentiate  wrt x

Q: Find the derivative of the function. f(x) = ln   x + 2 x − 2

A: Given,            fx=lnx+2x-2

Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: 6. f(x) = 3-*e*

A: given: f(x)=3-xex

Q: Find the derivative of the function.   f(x) = ex2 + 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :…

Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

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Q: a) Find the derivative of the function using limits: f (x) = 2x+1 b) Find an equation of the tangent…

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Q: Find the derivative of y = 2^x + 6/x^7

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Q: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: Find the derivative of the function using the chain rule. y = log10(7x)

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Q: x + Va x2 1. Find the derivative of the function f(x) = in two different ways. Once with the…

A: 1 Given function,                  f(x) = x+xx2Differentiate f(x) with respect to x, using quotient…

Q: f(x)= 4/x , x=3. Use definition of derivative as x approaches 0

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Q: poin Find the derivative with respect to x of f(x) = V2x + 6. f' (x) =

A: Given f(x)=2x+65

Q: 6 Find the derivative of f (y) =7tan(y) - 6.

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Q: Find the derivative of the function. f(x) = ln   1 2x8

A: Given,         fx=ln12x8

Q: Find the derivative of f(x)=((e^x)+(x^2))(3sinx+4cosx

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Q: Find the derivative of y with respect to x. (x-y)^2=2ax

A: The given function is: (x-y)2=2ax To find the derivative of y w.r.t. x.

Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

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Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

Q: (# 11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) =…

A: For the equation of tangent, we need to find the slope of the function at x=1.

Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

Q: (a) Find the derivative at x = −1. (b) Find the second derivative at x = −1.   h(x) = 2x4 + 8x3 +…

A: (a) The given function is

Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: Find the derivative of the function. h(x) ető - x + 1 ets

A: hx=ex8-x+1

Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

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Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: x* +e" = y

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Q: 2) Use the chain rule. (Chapter 2.5) Find the derivative y= (x² +3x)*

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Q: 4. Find the second derivative of the function. Simplify if possible. f (1) = 2+5

A: topic - derivative

Q: 31. Using one-sided derivatives, show that the function f(x) = {2. [x² +x, | 3х — 2, х> 1 does not…

A: Given: fx=x2+x     , x≤13x-2   ,  x>1

Q: 5x f(x) = 2) Find the first derivative given that 2x+3

A: ddx(5x2x+3)=5.ddxx2x+3(uv)'=u'v-v'uv2=5.ddx(x).2x+3-x.ddx(2x+3)2x+32=5(2x+3-2.ddx(x)+ddx(3)x22x+32x+…

Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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Q: 2 We want to find the derivative of h(x) x2 4 + 6Vx. The first step is to rewrite each term of the -…

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Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

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Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: fidn the first derivative of y with respect to x using increment method y=2x^2-5x+7

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