What is the derivative of-125cos(5x) ?

The derivative of-125cos(5x) is 625sin(5x)

What is the first derivative of-125cos(5x) ?

The first derivative of-125cos(5x) is 625sin(5x)

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\frac{d}{d x} (- 125 cos (5 x))

625 sin (5 x)

Solution steps

\frac{d}{d x} (- 125 cos (5 x))

Take the constant out:

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

= - 125 \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

= - 125 (- sin (5 x) \cdot 5)

Simplify

= 625 sin (5 x)

\int_{\frac{1}{2}}^{\frac{3}{4}} \frac{1}{u ^{2}} d u

\int_{- 1}^{3} 3 x^{2} + 4 x d x

y = arcsec (x^{2} + 1)

y = ln (x^{3} - 2 x^{2} + 2)

x \to \infty lim (\frac{2}{x} + 1)

What is the derivative of-125cos(5x) ?
The derivative of-125cos(5x) is 625sin(5x)
What is the first derivative of-125cos(5x) ?
The first derivative of-125cos(5x) is 625sin(5x)