Find an equation of the tangent line to the graph of f ( x ) = 2x2 - 10 over 2x - 2 at the point on the graph where x = 0. Use the quotient rule to find the derivative of f ( x ).

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=…

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A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: Find the equation of the tangent line to the function f(x)= x^3-4x at the point where x=0. Do not…

A: Here first we find the slope using the formula m=f'0 Then equation of the tangent at point x = 0,…

Q: use the definition of derivative to find the equation of the tangent line to the graph of f(x) = x2…

A: To find the equation of tangent line at the given point.

Q: Calculate the derivative of the function below using the quotient rule. y = Vx + 4x7

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Q: Find derivative using product or quotient rule

A: f'(x)=((x2)'(x+3)(4x-1)-x2((x+3)(4x-1))')/((x+3)(4x-1))2       (Using quotient rule)…

Q: a) f(x)=5x²e²x

A: We used the product rule.

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

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A: To find the derivative of function f(x)=√(7x+1)

Q: Calculate the derivative of the function below using the quotient rule. 2x ม 5x + 3 f(x) = and g(x)=…

A: Quotient Rule : If  y = f(x)g(x)  then  y' = g(x)·f'(x)-f(x)·g'(x)g(x)2.

Q: Find the derivative of the function y=x2+3x+1x without using the quotient rule for the derivative.

A: Given: y=x2+3x+x we know that ddxxn=nxn-1

Q: Find derivative of  23x and the 3x  is raised to the power of 2 also

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Q: Use the Quotient Rule to calculate the derivative for x+31 f(x) = x²+28x+1

A: Given function, f(x)=x+31x2+28x+1

Q: Use the quotient rule to find the derivative of the following.

A: Given y=4x-3x

Q: By using the definition of the derivative, find the equation of the tangent line to the graph of…

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Q: Find an equation of the tangent line to the graph of f at the given point.

A: The equation of the tangent line to the graph of f at a given point x0,y0 is y-y0=f'(x0,y0)x-x0…

Q: Find the derivative of the function f(x)=x-2/2+x square root

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Q: Find the derivative of the function. (x) - In(4 - x") f'(x) -

A: Find the derivative of the function.      fx=ln4-x8

Q: Find the derivative of the function by definition. 2- P0-x

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Q: Use the fact that the derivative of the function ​f(x)=4/x is f"(x)=-4/x2 to find the equation of…

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Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A: Recall: Slope of the tangent line using the definition of  limit of the derivative:…

Q: What is a derivative of -2x/(x^2-1)^2?

A: Differentiate the expression -2x/(x^2-1)^2 with respect to x as follows.

Q: Find the derivative using the first principle  F(x)= (x-1)(x-2)

A: Given F(x)=(x-1)(x-2) To find the derivative using the first principle From the first principle, we…

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 at the given x-value with the appropriate rule. y=4-18sqrt x at x=4

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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: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Compute the derivative f(x)= cubed root of x + 3/x5

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Q: Use the Quotient Rule to find the derivative of the function. 3x + 2 f(x) 4x - 5 f'(x) =

A: We have to find the derivative

Q: Use a quick approximation to estimate the derivative of the given function at the indicated point.…

A: Considering f(x) = 9 – 5x. To find the approximate derivative of f(x) at x = 2.

Q: use the limit definition of the derivative to find the derivative of flx) = 4x+ 3 x-| %3D

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Q: Use the the derIva tive rule to find derivative of Y= 2x3 -1 X-1 メ 6x -5 X² +1

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Q: By using the definition of the derivative, find the equation of the tangent line to the graph of…

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Q: f(x) = 2x²-4x x²+1

A: Given :fx=2x2-4xx2+1

Q: Use the definition of derivative to find the slope of the tangent line to the function f(x) = V2x at…

A: Let's find.

Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: Find the derivative of the function. f(x) = 4x In 4x f'(x)=

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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: = Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)…

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Q: Find the equation of the line tangent to the graph of the function f(x)=x-2x^2 at x=1 use the…

A: The equation of the curve is: f(x)=x-2x2

Q: Find the derivative of the function without using the Quotient Rule. 4x -27 y' = ( 4x10)

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Q: Find the derivative of f(x)= 11x^2 at x=1

A: Given:    f(x) = 11 x2  at x = 1

Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: Calculate the derivative of the function below using the quotient rule. y = 210 √x + 5x8 f(x) = and…

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Q: Find the derivative of f (x)= 2- √(5x) using the definition of derivative.

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Q: Estimate the derivative of the function f (x) =: -3 at the point a = 3.

A: The function is given by fx=x3-3 differentiate the above function w.r.t "x" f'x=ddxx3-3…

Q: Find the derivative of the tangent line 3x^2 +3x+3

A: We have to find the derivative of tangent line for the given curve: y=3x2+3x+3 We know,…