NInmore0emk3lato NInmore0emk3lato

21-11-2016
Mathematics

Answered

Find the x-coordinates of all points on the graph of: f(x)=6sinx-sin^2x

at which the tangent line is horizontal.

Verified Answer :

Edufirst Edufirst

04-12-2016

The points where the tangent line of f(x) are horizontal are those where f '(x) = 0.

Then find f '(x)

f '(x) = 6cosx - 2sinxcosx = 2cosx (3 - sinx) =0

=> 3 - sinx = 0, which is never

or cosx = 0, which is for x = π/2, 3π/2, 5π2, ...., -π/2 , -3π/2, -5π/2 , ...

You can represent that by x = π/2 + kπ, for k ∈ Z.

Answer Link

Related Questions

why did it take long to grant women suffrage

What was the outcome of the Gallipoli campaign

What is the proportional relationship with the table x 1 2 3 4 y 4 8 12 16 14 4 8 No proportional relationship

The area of a square ceiling title is 576 square inches What is the length of one edge of the title

The function f has the property that fxfx1 for all numbers x If f417 what is the value of f8

Arrange the steps involved in close reading sequentially from what you would do first to what you would do last

The speed limit on a highway is 70 miles per hour about how fasst is this mile per minute

Why does the investigator in an experiment change only one varvariable

Which is farther New York to Portugal or Venezuela to Portugal

108602010100filesi0050000jpg Name the work of art above and its artist Which visual element of art did the artist rely on the most to create this piece Explain

Web Analytics Made Easy - Statcounter