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

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

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

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

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

- 25 sin (5 x)

Solution steps

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

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)

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

\int \frac{1}{x ( x + 1 )} d x

y = 2 - x^{2}

\int_{- 2 π}^{π} π sin^{2} (x) d x

\frac{d y}{d x} = \frac{x ^{2} - x + 2}{x} + y

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