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## Related Calculus Q&A

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Q: What is the average rate of change of f(x)= x2 -2 on the interval [-1,3]?

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Q: What is the average rate of change of f(X)= X2-2 on the interval [-1,3]?

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Q: Find the average rate of change of the function over the specified interval. f(x) = 2x2 - 3x - 4,…

A: The given function is f(x)=2x2-3x-4 ; [-2,1]

Q: Find the average rate of change of f(x) = 3x2 - x from x1 = -1 to x2 = 2.

A: The given function is fx=3x2-x.

Q: Find the average rate of change of f(x) = 3x2 - x from x1 = -1 to x2 = 2.

A: The given function is f(x) = 3x2 - x .

Q: Calculate the derivative of f1 (x) = (2x + 3) / (x - 5) using the definition of the limit of the…

A: To find- derivative of the given function using definition of limit.

Q: Calculate the derivative of f1 (x) = (2x + 3) / (x - 5) using the definition of the limit of the…

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Q: Calculate the derivative of f1 (x) = (2x + 3) / (x - 5) using the definition of the limit of the…

A: (1) Given function is f1x=2x+3x−5 We have to find the derivative of f1x by using definition of the…

Q: Find the equation of the tangent and normal line of the function f(x) = V2x – 1 at the point (5, 3).

A: fx = 2x-1 , 5,3f'x = ddx2x-1 = ddx2x-112 = 122x-1ddx2x-1 = 222x-1 = 12x-1∴f'5…

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Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given, The local extremes of fx=x3+34x4 using the first derivative test.

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Q: ; Find the equation of the tangent and normal line of the function f(x): V2x – 1 at the point (5,…

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Q: determine the slope function S(x) for f(x)= lxl

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Q: Let f'(x) = 100x(2x+3)(x-5), use the first derivative test to determine the location of the local…

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Q: Compute the average rate of change of f(x) = x2-1/x on the interval of [2,4]. Please show me each…

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Q: Determine the local extrema for h(x)=−8/3x3+4x2+48x+9 using the First Derivative Test

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Q: Find the relative extrema of the function f(x)= x2+3x+4 using first derivative test.

A: fx=x2+3x+4 To find extrema of function.

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Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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Q: Use the first derivative test and the second derivative test to determine where each function is…

A: The given function y=3x+4 Differentiate with respect to x f'(x)=323x+4 f'(x) is not defined at…

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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…

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Q: Find the point f(x)= x3 - 3x2 + x + 4 where the tangent line has slope 10

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Q: Find the x value for all relative extremes of f(x) using the first derivative test. And specify…

A: Given, f(x) =x2 - 15x - 15x + 1

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Q: Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A: Click to see the answer

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Q: ) Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A: Given:

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Q: Find the derivative of the function. f(x) = In(x + V2 + x²) f '(x) =

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Q: Find the average rate of change of f(x) = 8x2 - x:(a) From 1 to 2 (b) From 0 to 1 (c) From…

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Q: Find the tangent line of the function f(x) = - 4Vx at x = 4, and the point at which tangent %3D line…

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Q: Use the limit definition to calculate the derivative of the linear function. f(x) = 12

A: The differentiation is a process of finding the rate of change of one variable with respect to…

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Q: Estimate the derivative of the function f(x)= 7 –9x at the point x = 6 using the balanced difference…

A: Click to see the answer

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Q: Estimate the slope of the tangent line of the function f(x)=3ex at the point x=e. slope of the…

A: Slope of the tangent line is given bythe first derivative of curve at given point.

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Q: find the average rate of change of f(x) = -x3+3x2 from x=-1 to x=4

A: Click to see the answer

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Q: Find the derivative of the function. f(x) = 2x In(x) f'(x) =

A: Let us consider the given function as: fx=2xlnx By using product Rule of derivative, we get:…

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Q: Find the slope of the line tangent to the graph of f(x) = xe* at x = 0. %3D

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Q: Find the equation of tangent and normal line for the following: f(x)=2x2-7 , (2,1) Sol. y=8x-15…

A: Functions and point are given , we have to find tangent and normal line.

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Q: /Find the equation of tangent and normal line for the following: f(x)=2x2-7 , (2,1) Sol. y=8x-15 ,…

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Q: Let f(x)=x² – 3x'. For what value(s) of x in [–1, 1] is the slope of the line tangent to the graph…

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Q: rmine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent line is…

A: We have to find the coordinates of the f(x)=5x3-2x2 where the tangent line is perpendicular to the…

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Q: find the average rate of change of f (x)= 5x3 - 6x2 - 10x+9 on the interval [-4,6]

A: We will use the average rate of change formula f(b)-f(a)b-a. Here a=-4 and b=6

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Q: Use the second-derivative test, if possible, to find relative extrema of y x5 – 5x. -

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Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

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Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

A: Given function is fx=x3+12x2-5. To find the local extrema of the function fx using the second…

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Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

A: Click to see the answer

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Q: Analyze the stationary points of f(x) = x2ex by applying the second-order derivative test.

A: Stationary points are occurred where the first derivative of the function becomes zero. If the Value…

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Q: .Find the derivative of the function: y =x² +8sin .

A: To find the derivative of y.

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Q: Determine the derivative of the cube root function f(x)=3√x using the limit definition.

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Q: Use the second derivative test to find the extreme values of the function f(z) = z-3z2-24z

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Q: Find the derivative of the function f (x) = Vx /x – 6.

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Q: Find the derivative of the function. 3x + V 3x + V3x

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Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) = %3D X + 2 h'(x) =

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Q: Find the derivative of the function. 9. f(x) =X x+8 f'(x) =|| %3D

A: Given: fx=x31-6x+8

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Q: Calculate the derivative of the function y=(x−1)(x−2)2 without using the product rule for the…

A: Consider the given function y = (x−1)(x−2)2. Simplify the given expression as follows.…