What is the derivative of cos(4-9x^2) ?

The derivative of cos(4-9x^2) is 18xsin(4-9x^2)

What is the first derivative of cos(4-9x^2) ?

The first derivative of cos(4-9x^2) is 18xsin(4-9x^2)

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derivative of

cos (4 - 9 x^{2})

18 x sin (4 - 9 x^{2})

Solution steps

\frac{d}{d x} (cos (4 - 9 x^{2}))

Apply the chain rule:

- sin (4 - 9 x^{2}) \frac{d}{d x} (4 - 9 x^{2})

= - sin (4 - 9 x^{2}) \frac{d}{d x} (4 - 9 x^{2})

\frac{d}{d x} (4 - 9 x^{2}) = - 18 x

= - sin (4 - 9 x^{2}) (- 18 x)

Simplify

= 18 x sin (4 - 9 x^{2})

\frac{d}{d x} (\frac{2 x + 5}{x ^{2} - 1})

f (x) = 2 x^{3} + 1

\int - \frac{4}{x ^{5}} d x

f (x) = - 3 x^{4}

\int_{0}^{π} 9 sin^{4} (x) d x

What is the derivative of cos(4-9x^2) ?
The derivative of cos(4-9x^2) is 18xsin(4-9x^2)
What is the first derivative of cos(4-9x^2) ?
The first derivative of cos(4-9x^2) is 18xsin(4-9x^2)