Please show all steps. Sketch a graph of y? = x – 12x , find thecoordinates of the points on the graph ofy? = x – 12x at which the tangent line is horizontal.

Answered: Sketch a graph of y? = x* – 12x , find…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.1: Techniques For Finding Derivatives

Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.

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Please show all steps.

Sketch a graph of y? = x – 12x , find the
coordinates of the points on the graph of
y? = x – 12x at which the tangent line is horizontal.

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Step 1

$g i v e n y^{2} = x^{3} - 12 x w h e n \tan g e n t l i n e i s H o r i z o n t a l, t h e n s l o p e w i l l b e z e r o . d i f f e r e n t i a t e t h e e q u a t i o n \frac{d y^{2}}{d x} = \frac{d}{d x} (x^{3} - 12 x) 2 y \frac{d y}{d x} = 3 x^{2} - 12$

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