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Popular >

derivative of asqrt(cos(2x))

Solution

\frac{d}{d x} (a cos (2 x))

Solution

a \frac{1}{2 cos ( 2 x )} (- sin (2 x) \cdot 2)

Solution steps

\frac{d}{d x} (a cos (2 x))

Take the constant out:

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

= a \frac{d}{d x} (cos (2 x))

Apply the chain rule:

\frac{1}{2 cos ( 2 x )} \frac{d}{d x} (cos (2 x))

= \frac{1}{2 cos ( 2 x )} \frac{d}{d x} (cos (2 x))

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

= a \frac{1}{2 cos ( 2 x )} (- sin (2 x) \cdot 2)

Popular Examples

integral of x/(sqrt(x^2+8x))

\int \frac{x}{x ^{2} + 8 x} d x

tangent of y=ax^3 tangent of

y = a x^{3}

integral from 0 to 1 of (ln(t))/t

\int_{0}^{1} \frac{ln ( t )}{t} d t

integral of+x^3e^{3x^2}

\int + x^{3} e^{3 x^{2}} d x

limit as x approaches 1+of (x^2-4)/(x-1)

x \to 1 + lim (\frac{x ^{2} - 4}{x - 1})

Frequently Asked Questions (FAQ)

What is the derivative of asqrt(cos(2x)) ?
The derivative of asqrt(cos(2x)) is a 1/(2sqrt(cos(2x)))(-sin(2x)*2)
What is the first derivative of asqrt(cos(2x)) ?
The first derivative of asqrt(cos(2x)) is a 1/(2sqrt(cos(2x)))(-sin(2x)*2)