What is the derivative of 9cos(2/5 x) ?

The derivative of 9cos(2/5 x) is -18/5 sin((2x)/5)

What is the first derivative of 9cos(2/5 x) ?

The first derivative of 9cos(2/5 x) is -18/5 sin((2x)/5)

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derivative of

9 cos (\frac{2}{5} x)

- \frac{18}{5} sin (\frac{2 x}{5})

Solution steps

\frac{d}{d x} (9 cos (\frac{2}{5} x))

Simplify

9 cos (\frac{2}{5} x) : 9 cos (\frac{2 x}{5})

= \frac{d}{d x} (9 cos (\frac{2 x}{5}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} (cos (\frac{2 x}{5}))

Apply the chain rule:

- sin (\frac{2 x}{5}) \frac{d}{d x} (\frac{2 x}{5})

= - sin (\frac{2 x}{5}) \frac{d}{d x} (\frac{2 x}{5})

\frac{d}{d x} (\frac{2 x}{5}) = \frac{2}{5}

= 9 (- sin (\frac{2 x}{5}) \frac{2}{5})

Simplify

9 (- sin (\frac{2 x}{5}) \frac{2}{5}) : - \frac{18}{5} sin (\frac{2 x}{5})

= - \frac{18}{5} sin (\frac{2 x}{5})

\int \frac{3 x}{( x ^{2} - 3 ) ^{3}} d x

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

\frac{d}{d x} (- x^{2} + \frac{x}{3} - 3)

\int - 5 x e^{x^{2}} d x

\int cos (7 x) cos (3 x) d x

What is the derivative of 9cos(2/5 x) ?
The derivative of 9cos(2/5 x) is -18/5 sin((2x)/5)
What is the first derivative of 9cos(2/5 x) ?
The first derivative of 9cos(2/5 x) is -18/5 sin((2x)/5)