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Popular >

derivative of-1/3 cos(3x)

Solution

\frac{d}{d x} (- \frac{1}{3} cos (3 x))

Solution

sin (3 x)

Solution steps

\frac{d}{d x} (- \frac{1}{3} cos (3 x))

Take the constant out:

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

= - \frac{1}{3} \frac{d}{d x} (cos (3 x))

Apply the chain rule:

- sin (3 x) \frac{d}{d x} (3 x)

= - sin (3 x) \frac{d}{d x} (3 x)

\frac{d}{d x} (3 x) = 3

= - \frac{1}{3} (- sin (3 x) \cdot 3)

Simplify

- \frac{1}{3} (- sin (3 x) \cdot 3) : sin (3 x)

= sin (3 x)

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f (x) = (\frac{x + 1}{x - 1})^{7}

derivative of log_{4}(cos(2x))

\frac{d}{d x} (lo g_{4} (cos (2 x)))

derivative of-3/(x^2+4e^{2x})

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

integral of sqrt(r^2+z^2)

\int r^{2} + z^{2} d z

Frequently Asked Questions (FAQ)

What is the derivative of-1/3 cos(3x) ?
The derivative of-1/3 cos(3x) is sin(3x)
What is the first derivative of-1/3 cos(3x) ?
The first derivative of-1/3 cos(3x) is sin(3x)