Find & from the graph of y = f(x) = x² below: y = x^2 1.44 1 0.56 x1 x2

Q: y = V4+3Vx

A: Derivatives

Q: Differentiate the function. y = etan(θ)

A: Given y=etanθ Use chain rule of differentiation to differentiate the given function.

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (8x4…

A: Given: y=8x4+53

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: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: Find the average rate of change of g(x) = 4x + 2 between the points (-3,-10) and (3,14)

A:

Q: Sketch a graph of y = 2 on [-1, 4] and use geometry to find theexact value of function given

A: Given : y=2 on -1,4 The graph is shown below: The shaded region is the required value of ∫-142dx

Q: Find the derivative of y= 4tan5α

A:

Q: Use the second derivative test to find the extre #1) f(x) = x³ + 2x² - 4x-8 %3D

A:

Q: Find the derivative of y=7tan^-1(x-(sqrt(1+x^2)

A: Chain rule:

Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

Q: Use the second derivative test to find the local extrema for the function. y = 3x5- 25x3 + 60x + 20

A: We can use the application  derivative in order solve the given problem.

Q: Find the derivative. y = x + 8x + 5 y = %3D

A: Given that,       y = x2+8x+5 Differentiating with respect to x, we get           y' = ddx(x2+8x+5)…

Q: Find the higher order derivative. f"(x) = 3x² + 2x – 15 f(5)(x) =

A: f''(x)=3x2+2x-15

Q: Find the derivative. y = ecosh(8x) y'(x) =

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Q: Differentiate: f(x)=arctan(x2)

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Q: Find the derivative. y = (lnx) 2

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Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

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Q: Find the equation of a tangent line to the graph of f(x) = x² – 2X at (-2,8). TYPE IN THE EQUATION…

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Q: Find the average rate of change of g(x) = 3x² – 2 between the points (-4,46) and (3,25) -

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Q: rconh(3x+1) - 5t +ldt f(x)= sinh³

A:

Q: Differentiate the function. y = etan(8) y' =

A: The given function is y=etanθ.

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

A:

Q: What is the maximum slope of a tangent to the function f(x) = −x3 + 4x − 2?

A: Maximum slopes of tangent to function is 4.

Q: What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

A:

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: Differentiate the function. y= (5x- 5) (5 -x*)5 - 15625(x – 1)ª (5 – x*)*(5+4x³ – 5x*) dx

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Q: Use the second derivative test to find the local extreme values of y= 2x7-x+12

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Q: What is the derivative of y = 3lnx) Y :

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Q: Select all the tables in which the y-value changes at a constant rate per x-interval.

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Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

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: Express the length l of a chord of a circle of radius 8 as a function of its distance x from the…

A:

Q: Find f' (8) from f(x) = V7x – 2 using the definition of a derivative. (Do not include "f'(8) =" in…

A: This question is related to deivative.

Q: Sketch a graph of y = 2x on [-1, 2] and use geometry to find theexact value of function given

A: Let's sketch the graph of the following function:                                       y=2x…

Q: Find derivative of F(x)= 2 square root 2x+3

A:

Q: Find the first derivative y = (3x-2)/ (2x-1)1/2        Use the quotient rule

A:

Q: Differentiate f(x)= (3x+2)^(arctan(x))

A: We can solve this problem using logarithmic derivative.

Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

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Q: Describe how you would use the second derivative to determine a local minimum or maximum.

A: Given data is: How you would use the second derivative to determine a local minimum or maximum

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

Q: Find the derivative of the function. y = 9tan−1(x-sqrt(1+x2))

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Q: with positive exponents only

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Q: Determine the area of the triangle formed by the tangent to the graph of the function y=3-x2 drawn…

A: Given,            y = 3 - x2 , and the point 1, 2

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…

Q: Find the higher order derivative. f"(x) = 4x2 + 9x – 16 - f(5)(x) = %3D

A: