For the​ function, find the points on the graph at which the tangent line is horizontal. If none​ exist, state that fact. y=4/3x^3-7x+5

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A: We first find f'(-1) to find the slope

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Q: Find all the values of x where the tangent line is horizontal. f(x) = 2x + 45x +324x +4

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A: Given: The slope of the graph of the inverse tangent function is positive for all x.

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A: Given:

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A: As we know that the derivative os sec inverse x is: ddxsec-1x=1xx2-1

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = −x2tan x

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Q: Find the points on the graph of f(x)=48x−x3 where the tangent line is horizontal.

A: Given:f(x) = 48x – x3.Compute the derivative of the function f(x) as follows.

Q: f(x) =/4 –x ; (-5,3)

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Q: FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5- x2 AT (3,–4). %3D

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Q: find the slope of the tangent line to the graph of the function at the given point. f(x) = -2x + 5…

A: Given:

Q: Find the equation of the tangent line to the graph of f(x) = 3x' + 4x – x – 4 at x = - 1. y = help…

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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: