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Popular >

derivative of cos(sqrt(6x+11))

Solution

\frac{d}{d x} (cos (6 x + 11))

Solution

- \frac{3 sin ( 6 x + 11 )}{6 x + 11}

Solution steps

\frac{d}{d x} (cos (6 x + 11))

Apply the chain rule:

- sin (6 x + 11) \frac{d}{d x} (6 x + 11)

= - sin (6 x + 11) \frac{d}{d x} (6 x + 11)

\frac{d}{d x} (6 x + 11) = \frac{3}{6 x + 11}

= - sin (6 x + 11) \frac{3}{6 x + 11}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{3 sin ( 6 x + 11 )}{6 x + 11}

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Frequently Asked Questions (FAQ)

What is the derivative of cos(sqrt(6x+11)) ?
The derivative of cos(sqrt(6x+11)) is -(3sin(sqrt(6x+11)))/(sqrt(6x+11))
What is the first derivative of cos(sqrt(6x+11)) ?
The first derivative of cos(sqrt(6x+11)) is -(3sin(sqrt(6x+11)))/(sqrt(6x+11))