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Popular >

derivative of 5cos(4ln(x))

Solution

\frac{d}{d x} (5 cos (4 ln (x)))

Solution

- \frac{20 sin ( 4 ln ( x ) )}{x}

Solution steps

\frac{d}{d x} (5 cos (4 ln (x)))

Take the constant out:

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

= 5 \frac{d}{d x} (cos (4 ln (x)))

Apply the chain rule:

- sin (4 ln (x)) \frac{d}{d x} (4 ln (x))

= - sin (4 ln (x)) \frac{d}{d x} (4 ln (x))

\frac{d}{d x} (4 ln (x)) = \frac{4}{x}

= 5 (- sin (4 ln (x)) \frac{4}{x})

Simplify

5 (- sin (4 ln (x)) \frac{4}{x}) : - \frac{20 sin ( 4 ln ( x ) )}{x}

= - \frac{20 sin ( 4 ln ( x ) )}{x}

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integral from 0 to 30 of 9sqrt(x)

\int_{0}^{30} 9 x d x

(\partial)/(\partial u)(v/u)

\frac{\partial}{\partial u} (\frac{v}{u})

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\int_{0}^{3} ∣ 2 x - 4 ∣ d x

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\int (7 x^{6} + \frac{x}{7}) d x

Frequently Asked Questions (FAQ)

What is the derivative of 5cos(4ln(x)) ?
The derivative of 5cos(4ln(x)) is -(20sin(4ln(x)))/x
What is the first derivative of 5cos(4ln(x)) ?
The first derivative of 5cos(4ln(x)) is -(20sin(4ln(x)))/x