What is the derivative of 6cos(6x) ?

The derivative of 6cos(6x) is -36sin(6x)

What is the first derivative of 6cos(6x) ?

The first derivative of 6cos(6x) is -36sin(6x)

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derivative of

6 cos (6 x)

- 36 sin (6 x)

Solution steps

\frac{d}{d x} (6 cos (6 x))

Take the constant out:

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

= 6 \frac{d}{d x} (cos (6 x))

Apply the chain rule:

- sin (6 x) \frac{d}{d x} (6 x)

= - sin (6 x) \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= 6 (- sin (6 x) \cdot 6)

Simplify

= - 36 sin (6 x)

\int_{- 1}^{0} x^{2} e^{x^{3} + 1} d x

y^{5} \cdot (y^{^{'}} - y) = e^{6 x}

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

(x + 4 x) (x^{\frac{3}{2}} - x)

y = ln ∣ sec (x) + tan (x) ∣

What is the derivative of 6cos(6x) ?
The derivative of 6cos(6x) is -36sin(6x)
What is the first derivative of 6cos(6x) ?
The first derivative of 6cos(6x) is -36sin(6x)