use the definition of derivative to find the equation of the tangent line to the graph of f(x) = x2 at the point x = 5

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 using the rules of differentiation. 1 f(x) = f'(x) =

A: topic - derivative of a function

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: Use the definition of a derivative to find the equation of the tangent line at the given point.…

A: The equation of the tangent line is  y-7x+2=0

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1

Q: Let f(x) = x^2 - 4x + 1. What is the equation of the tangent line to f(x) at x = 2? Use the limit…

A: Please see the below picture for detailed solution.

Q: Use implicit differentiation to find an equation of the tangent line to the curve sin(x + y) = 4x –…

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Q: Use the definition of the derivative to find the value of f'(2) if f(x)=x'-2x. Then use it to write…

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Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

Q: Use implicit differentiation to find an equation of the tangent line to the curve: sin(x+y)=8x−8y at…

A: First we find the slope of the tangent at the given point. Slope of the tangent is the derivative of…

Q: Use the definition of the derivative to find the derivative of the function h(x) = x+3 then find the…

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Q: Find the derivative of the function by using the rules of differentiation. 4 f(x) 1 + 400 %3D f'(x)…

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Q: Use the rules of differentiation to find the derivative of the function.

A: The given function is y=1x5

Q: F(x) 1+ xe

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Q: Use implicit differentiation to find the slope of the tangent line to the curve at the given point.…

A: To find the slope of tangent line of the given curve by using implicit differentiation.

Q: 2. Sketch the graph of a tangent line of the function f(x) = at x = -1. And then find 1- x the…

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Q: Use the rules of differentiation to find the derivative of the function. y = -10 y' = %3D

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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: Determine the derivative of h(x) = 15 arctan

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Q: ■ Find the derivative of the function. Simplify wherepossible.  y =  ( tan -1 x ) 2

A: y=tan-1x2

Q: Use the fact that the derivative of the function g(x)=√x is g"(x)=1/2√x to find the equation of the…

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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: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

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Q: Let f(x) = x8 - 8x6. When the tangent line is vertical, what is the derivative of f(x)?

A: Here we will understand the vertical tangent line and we will find derivative of given function,

Q: Find the derivative of the function (slope of the tangent) using the definition at the point Xo=9…

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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: Use the derivative implicitly to find the slope of the tangent line at the point ,0), Suppose y is a…

A: Given- siny+cosx=12 To Find- The slope of the above expression at the given point π3,0.

Q: use the limit definition of a derivative to find the slope of the tangent line of the function…

A: Recall the limit definition to find the slope of the tangent line of the graph.

Q: Find the derivative. Ni at

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Q: Find the derivative of the function f(x) v4-x by definition

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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: Derive the formula for the derivative with respect to x of sec x.

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

A: f (x) = 1 − 2x  point,  x = 2 To use quick approximation to estimate the derivative, f'(2).

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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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 f by using the rules of differentiation. f(x) = x6

A: Power rule: ddxxn=nxn-1

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 derivative of the function using the definition of derivative. 1 f(x) V5 + x

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Q: The tangent line to f(x) = x² at x = –3.

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Q: Use the implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Use the Quotient Rule to find the derivative of the function.…

A: Given:          g(x)=sinxx2

Q: .If f(2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

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Q: Calculate the derivative of the function y=x2−x−1x without using the quotient rule.

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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) =…

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Q: Use the definition of the derivative of find (sin x)'.

A: 1)

Q: By using the definition of the derivative, find the slope of the tangent line to the curve y = 4x −…

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Q: Use the definition of derivative to find the tangent and normal equations of f (x) = (x – 3)2 %3D

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Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: