Starting with the graph of f(x) = 7* , write the equation of the graph that results from (a) shifting f(x) 1 units downward. y (b) shifting f(x) 1 units to the left. y = (c) reflecting f(x) about the x-axis. y =

Q: Find the derivative of the function.

A: Given: f(x)=x2+5-3x-2 To find its derivative.

Q: Find the derivative.   g(x) = 4^x/x^4

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Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?

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Q: need help solving this please

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: Use the Chain Rule to find the derivative of the function. y = (2x² - 9)3

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Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

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Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

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Q: -Find the range of the function y = 2 - sin3x

A: Introduction :

Q: 22x Find the derivative: f(x) = x²e2.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: find the derivative  f(x)=x+3+4/x

A: The derivative of the function as follows.

Q: 8) Sketch the function with the zeros (X+ 3) (x+ 1) (x -2) and the y-intercept of -6. After doing…

A: Given: Given that the function (x+3) (x+1)2 (x-2) To Find: To sketch the given function

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A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: Find the derivative of the function. f(x) = x2(x − 2)7

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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Q: Does y = e- - 2 exist? What is the domain & range of the function if it does exist?

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: How do you use the graph of f(x) shown to the right to find the following, if they exist. If a…

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Q: Using the criterion of the first and second derivatives, find the graph of the function a) F(x) = x³…

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Q: Use the Chain Rule to find the derivative. y = (x4 - x3 - 1)2/3

A: To find the derivative y = x4 - x3 - 123.

Q: 5. f(x)=3x*e*

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Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: use the Chain Rule to find the derivative. y = e2x2

A: To find the derivative of y=e2x2 using chain rule. Solution: Chain rule of differentiation states…

Q: Find the derivative of the function. y = 3elx2 + 8)3

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Q: find the first and second derivative: x=(t-2)5/2 y=t3-5

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Q: Find the derivative of the function. g(x) = (2 + (x2 + 1)4)3

A: Consider the provided function, gx=2+x2+143 Find the derivative of the function. Applying the chain…

Q: Given f(x)=√x + 3, find f'(-2) using the definition of a derivative. Provide your answer below: ƒ'(…

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Q: Find the derivative: y = (4 – x)(x³ – 2)

A: Given y=4-xx3-2

Q: Use the chain rule to find the derivative of f(x) = 2e-72° + 32® f' (x) =

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Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: 3.) y = e2x-3 3.) у 3

A: The derivative of some general functions are, ddx(ef(x))=ef(x).ddx(f(x)) Product rule of derivative…

Q: g(x) =e*(2x² – 3x)

A: g(x)=e^x (2x^2-3x)

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Find the derivative of the function. x2 + 8 f(x) = x - 8

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Q: Does the graph of y = sqrt(x) - ln x, x> 0, have an inflection point? Try to answer the question…

A: To determine if the function has an inflection point.Part (a) By GraphingPart (b) By Calculus

Q: Find the first and second derivatives of the function.  f(x) = (x2 + 4)5

A: Rule used:The derivative rules are shown below.

Q: Using the second derivative criterion, find the graphs of the functions b) F(x) = x³/3 - 9x + 3

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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: find the derivative  f(x)=x2(x3-1)

A: Apply the product rule and obtain the derivative of the given function.

Q: B2(a): Using the definition of derivative, find the derivative of f(x) = x² + 7.

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Q: Find the intervals of increase and decrease  for the function.   f(x)= ln(lnx-4)

A: Simple increasing and decreasing problem.....

Q: Find the Derivative f(x) = X3In x

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Q: find the first and second derivatives of the function f(x) = (x2 + 4)5

A: The given function is f(x)=x2+45.

Q: Find the first and second derivatives of the function. f(x) = (x² + 5)5

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Q: X = t-1 2-1

A: Given that x=tt-1,y=t2t2-1. Compute the first derivative.…

Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: Sketch the graph of y= x2+2/x by using the properties of the derivative.

A: Given: y=x2+2x=x2+2x⇒y'=1-2x2⇒x2-2=0 ;  ⇒x=±2 are…

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Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.