What is the derivative of-sin(5x*5) ?

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

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

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

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

- 25 cos (5 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - 5 cos (5 x) \cdot 5

Simplify

= - 25 cos (5 x)

\int sec^{2} (x) tan (x) e^{s e c (x)} d x

sin (cos (5 x))

\int sin (x) + 8 d x

\int \frac{8}{x ^{8}} d x

b x^{4}

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