Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. (If an answer is undefined, enter UNDEFINED. Round your answer to three decimal places.) f(x) = 4 / (x^2-2x)^2        (3,4/9)

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the…

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Q: Find the derivative of the function by definition 1 1- f(x) = 2x +3

A: Given f(x) = 12x+3 Consider f'(x) = limh→0f(x+h)-f(x)h= limh→012(x+h)+3-12x+3h=…

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

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Q: Find the derivative of the function at the given number. f(x) = 3 – 4x + x², at -1 %3D f'(-1) = %3D

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Q: . Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. .Find the derivative…

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Q: Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given: fx=5x2-2x2 , 3,59 To determine: Slope of the graph of the function at the given point.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: Differentiate the function with respect to x using the chain rule to find f'(x). According to the…

Q: Find the derivative of f (x) = x at x = -4 algebraically. f' (-4) =

A: f(x)=x3 Find f'(-4)

Q: Find the derivative of the function. X-1

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the derivative of the function. |(7 - 0)

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Q: find the derivative of the function given.

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Q: Match the graph of the function with the graph of its derivative.

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Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

Q: Find the derivative of f(x) = xcosx. 7.

A: Find the derivative of the given function.

Q: find the derivative of the function F(x)=4(x^3-x)^4

A: According to the given information, it is required to find the derivative of the given function.

Q: Find the derivative of f(x) = - 2 * root(4, x ^ 5) + 7/(x ^ 6)

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Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: Find the derivative of  (x + 1)³ / x

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Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

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Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: Find the derivative of the given function

A: Given,y=cot-11x-tan-1xFormula used in thi…

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Find the derivative of the algebraic function.

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Q: Find the derivative of the curve f(x) = 3x² - 6x + 1. Use the result to find the slope of the…

A: Follow the procedure given below.

Q: Find the derivative of the function two ways: by simplifying the function first and by using the…

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Q: If a function is decreasing with an upward concavity, what do you know about the function's first…

A: Given :   If a function is decreasing with an upward concavity To find : the function's first two…

Q: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 5x +x…

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Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

Q: Find the derivative of the function by definition. 1- V2x+3

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Q: Determine the derivative of the given function by using two different methods

A: Given,         y=x2-3x2+34

Q: o f(x) = 4~/x+3

A: by using definition of a derivative.

Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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Q: Enumerate and explain the steps in finding the derivative of this function: y=1/[2*sqrt(x+3)]

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Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

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Q: Find the derivative of this function

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Q: y = x-12; (4,) Use the derivative feature of a graphing utility to confirm your results.

A: We will solve the following

Q: find the slope of the function at given point. use the derivative feature of a graphing utility to…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find the Derivative of the given function. If f(x) = -3, then f'(z) = %3D

A: Given f(x)=-3

Q: Find the derivative of the given function.

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Q: Find the derivative of the function. 12 X %3D

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Q: 10

A: The graph of derivative is made by observing the slope of given function