What is the derivative of cos(5x*5) ?

The derivative of cos(5x*5) is -25sin(5x)

What is the first derivative of cos(5x*5) ?

The first derivative of cos(5x*5) is -25sin(5x)

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\frac{d}{d x} (cos (5 x) \cdot 5)

- 25 sin (5 x)

Solution steps

\frac{d}{d x} (cos (5 x) \cdot 5)

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= 5 (- sin (5 x) \cdot 5)

Simplify

= - 25 sin (5 x)

(2 e^{x})^{2} - (10 e^{x})

\int \frac{1}{7 x ^{3}} d x

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

\frac{sin ^{5} ( e ^{2 x} )}{cos ( 7 ^{6 x} )}

\int 2 x - 3 x^{2} d x

What is the derivative of cos(5x*5) ?
The derivative of cos(5x*5) is -25sin(5x)
What is the first derivative of cos(5x*5) ?
The first derivative of cos(5x*5) is -25sin(5x)