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)

x \to - \infty lim (5^{x} + 2)

\int_{0}^{\frac{1}{2}} 3 arccos (x) d x

\frac{\partial}{\partial y} (x \cdot ln (y - z))

\int \frac{x ^{3}}{x ^{4} + 3 x ^{2} + 2} d x

\int_{1}^{7} \frac{1}{36 + ( x + 5 ) ^{2}} d x

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)