Mathematics: Is the following true or false? the second derivative of the quantity x squared times the cosine of x equals 2 times cosine x minus 4 times x times sine of x minus x squared times cosine x see attached for the problem

Is the following true or false? the second derivative

Ответ:

Buttercream16

01.01.2022

Remember the chain rule
dy/dx f(x)g(x)=f'(x)g(x)+g'(x)f(x)dd
and dy/dx cos(x)=-sin(x)
and dy/dx sin(x)=cos(x)

so
$\frac{dy}{dx} x^2cos(x)=2xcos(x)+(-x^2sin(x))=2xcos(x)-x^2sin(x)$
2nd derivitive
$\frac{dy}{dx}2xcos(x)-x^2sin(x)=2cos(x)+(-2xsin(x))-(2xsin(x)+x^2cos(x))=2cos(x)-2xsin(x)-2xsin(x)-x^2cos(x)=$
2cos(x)-x^2cos(x)-4xsin(x)

true

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Ответ:

ameliaparry123p2eupk

20.07.2020

Mathematics

Your brother read 320 books

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Is the following true or false?
the second derivative of the quantity x squared times the cosine of x equals 2 times cosine x minus 4 times x times sine of x minus x squared times cosine x
see attached for the problem

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