Mathematics: What is the missing length of the triangle?

Given:The function is:To find:The turning points.Solution:We have,Differentiate the given function with respect to x.For turning point, .Using zero product property, we get and and Therefore, the turning points of the given function are at and ....

What is the missing length of the triangle?

Ответ:

sydneylocascio26

21.09.2020

Mathematics

Given:

The function is:

y=2x^3-15x^2+36x-20

To find:

The turning points.

Solution:

We have,

y=2x^3-15x^2+36x-20

Differentiate the given function with respect to x.

y'=2(3x^2)-15(2x)+36(1)-(0)

y'=6x^2-30x+36

y'=6(x^2-5x+6)

For turning point, y'=0 .

6(x^2-5x+6)=0

x^2-3x-2x+6=0

x(x-3)-2(x-3)=0

(x-3)(x-2)=0

Using zero product property, we get

x-3=0 and x-2=0

x=3 and x=2

Therefore, the turning points of the given function are at x=2 and x=3 .

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What is the missing length of the triangle?

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