39. f(x) = 3x9

Q: Derivatives Find and simplify the derivative of the followingfunctions

A: Let y = f(x)  and z = f(x) Then d[y*z]/dx = y*[dz/dx] + z*[dy/dx]

Q: Derivatives Find the derivative of the following functions

A: We use the chain rule

Q: Derivatives Find and simplify the derivative of the followingfunctions. y = (3t - 1)(2t - 2)-1

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Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: Derivatives Find the derivative of the following functions

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Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: 67. f(x) = x3 + 2x2 + 1, c = -2 %3D

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Q: Derivatives Find the derivatives of the following functions.

A: Given f(x) =xsin h-1x - x2+1Differentiate w.r.t 'x', we haveddxf(x) = ddxxsin h-1x - x2+1…

Q: Derivatives Find the derivative of the following functions

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Q: Find the derivative of the function. (Simplify your answer completely.) f(x) = e* In x + 7 f'(x) =…

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Q: Find the derivative of the function. (a) g(x) - log,(8x - 9x²) - (x),6 (b)

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Q: Find the derivative of the function. 5х-7 y = 2x + 1 The derivative is y' =

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Q: f(x)= x-3/x find the first derivative the second derivative, x intercept, horizontal and vertical…

A: Given f(x)=(x-3)/x. we need to find the first derivative , second derivative , x-intercept ,…

Q: Find the derivative of the function. State which differentiation rule(s) you used to find the…

A: First write the expression with exponent (for the rational part)

Q: Find and simplify the derivative of the following functions

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Q: Derivatives Find the derivative of the following functions

A: The given function is fx=2x2x+1

Q: (b) f(x) = (3x – 2a²)³

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Q: Derivatives Find and simplify the derivative of the followingfunctions

A: Given: px=4x3+3x+12x5 for finding derivative of given function, first we simplify given expression…

Q: Derivatives of bx Find the derivatives of the following functions.

A: y=x3·3x

Q: x+1 For the function g(x) Find the second derivative of g.

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: Give the derivative formula for the function g(x) = 2.8* g '(x)

A: Problem 1:To find the determine the derivative of the given function.

Q: f(x) = x3 -2; x = -1, x = 1. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find…

A: the given function is fx=x3-2; x=-1, x=1 (a) we have to find the derivative of f at x that is value…

Q: f(x) = x3 - 2; x = -1, x = 1.Solve,a. Find the derivative of f at x. That is, find f′(x).b. Find the…

A: It is given that;  f(x)=x3-2 differentiate with respect to x

Q: x+2 3. Use derivatives to determine where is the function f(x) = x²-4 is increasing and decreasing.…

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Q: Derivatives with exponentials Compute the derivative of the following functions.

A: Given, g(t)=2tet2   We have to find, g'(t)=ddtg(t)   As we know, If h(x)=f(x)g(x) Then…

Q: Derivatives Find and simplify the derivative of the followingfunctions. ƒ(x) = 3x4 (2x2 - 1)

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Q: Calculating derivatives Find the derivative of the followingfunctions. y = sin x + 4ex

A: Given function:                              y=sinx+4ex   Taking derivative with respect to x :…

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Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

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Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: f(x) = a +bx+c he value of third derivative of the function is 6 at x=1. Find the value of a.

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Q: Derivatives Find the derivative of the following functions

A: Given:y=4-xsinxProduct rule:ddxuv=uv'+vu'

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Q: Instantaneous Velocity The velocity of moving object at a point during its motion can be determined…

A: The given velocity function is: f(x)=-x2+6x-2 where x is the time in seconds.

Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

A: The derivative of g(t) with respect to t is defined as

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

A: The given function is,

Q: Derivatives Find the derivative of the following functions. y = ln 2x8

A: Given: y=ln 2x8 To determine: Find the derivative of the given function.

Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: Q 14 Find the derivative of the function using the definition of derivative. State the domain of the…

A: Part (a)Consider the given function.

Q: X-1 For the function f(x)= find f"(x), the third derivative of f, and f)(x), the fourth derivative…

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Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

A: For (a), We need to find the derivative function f' for the function f(x)=2x2-9x+10. So,…

Q: Derivatives Find and simplify the derivative of the followingfunctions

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Q: Derivatives 1) x = 2tvE +

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

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(3) when the…

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Q: Derivatives Find the derivative of the following functions

A: y=3x3ln x-x3