Find the relative extreme values of the function f(x) = - - 6x + 5.

Q: Find the derivative of the function.

A: Given: f(x)=x2+5-3x-2 To find its derivative.

Q: How is the graph off (x) = x 3 - l2x 2 + 36x - 16 related to the derivative f'(x) = 3x 2 - 24x + 36?

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Q: At what value of x does the function f(x) =x-2 x change from decreasing to increasing?

A:

Q: Find the second derivative of the function. f(x) = (3x5 + 6)6

A: topic - double derivative

Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: find the derivative  f(x)= (2x-3)6(3x+4)

A: Given function is f(x)=(2x–3)^6(3x+4). Formulas used:

Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

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Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

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Q: Find the critical values of the function below. **x-24x? 8 -x³–24x² f(x)

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Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: Find the higher-order derivative. f(4)(x) = (x² + 6)² f(6) (x) =

A: Finding the 6th derivative, given the fourth derivative.

Q: Find an equation for the line tangent to f(x)=x3 +3x2 -2x-8, at the point where x=1

A: To find the equation of the tangent line at point x = 1 for the given curve.

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: Suppose that f is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

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Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

A:

Q: iven the function y=2x³-4x²+5,

A: Given, the function               y=2x3-4x2+5

Q: If f(x) = 2x^2 - 10x - 33 , what would the derivative f’(x) be?

A: Given : fx = 2x2-10x-33

Q: Find the critical points of the function f(x)=8x3−x4.

A:

Q: calculate the derivative. f (x) = 4x5/3 − 3x−2 − 12

A: To find the derivative of: f(x)=4x53-3x-2-12 Solution: f(x)=4x53-3x-2-12 Differentiating both sides…

Q: Match f(x) with its graph without using a calculator. -… (x)

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Q: Find derivative of f(x)=(2x2+5)4

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Q: what is the slope of the curve

A:

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: Find the second derivative of the function. f(x)= [3x3+7]7

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Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the derivative of the function. f(x)=6x3 − 7x2 + 2/x3 − 3

A:

Q: Find the equation of the secant line on the graph of the function f(x)=7x2 between the points where…

A: take x=-1 . take x=5

Q: The derivative of f(x) = 5lnx is

A:

Q: Find the derivative of the function. f(x) = (x3 − 3x2 + 4)/x2

A: Given,          fx=x3-3x2+4x2

Q: Calculate the derivative. f (x) = 4x5/3 − 3x −2 − 12

A:

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

A:

Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

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Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

A:

Q: Find the derivative of the function. f(x) =-4x2+x+ 6

A: Consider the function  f(x)=-4x2+x+6

Q: Find the slope of the secant line between x=3 and x=5 on the graph of the function f(x)=−2x^2+2x+5.

A:

Q: Find the first and second derivatives of the function. f(x) =x4 -3x3 +16x

A: To find the first and second derivatives of the function. fx=x4-3x3+16x

Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

A:

Q: Find the derivative of the function.

A: The given function is gx=3x2-22x+3-2.

Q: Find the derivative of the function. f(x)=6x2(9-8x)4

A: Use the product rule of differentiation: fx=ux.vxf'x=u'x.vx+ux.v'x

Q: The derivative of f(x) = x4 + 4e2x is-

A:

Q: Find the derivative of the function. f(x) = x2 + 5 − 3x−2

A: Known fact: ddxxn=nxn-1ddxf±g=dfdx±dgdxddxk=0   where k is constant

Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

A:

Q: Find the first and second derivatives of the given function. f(x) = 5x3 − 6x2 + 6

A: The given function is f(x) = 5x3 − 6x2 + 6. The derivative of xn is given by: ddxxn=nxn-1 and…

Q: Determine all critical points for the function. y = 4x² - 128 x

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Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75

Q: Use the second derivative test to find the extreme values of the function f(x) = x³ – 3x? – 24x . -

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.