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Popular >

derivative of 2sqrt(cos(x))

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Popular Examples

derivative of (sin(x^2+x^2)(cos(x)-3x))

\frac{d}{d x} ((sin (x^{2}) + x^{2}) (cos (x) - 3 x))

derivative of f(x)=\sqrt[4]{x^7}derivative of

(dy}{dx}=\frac{y^2)/x

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

integral of 4x^3e^{-5x}

\int 4 x^{3} e^{- 5 x} d x

inverse oflaplace 1/((s+1)(s^2+2s+10))inverse laplace

\frac{1}{( s + 1 ) ( s ^{2} + 2 s + 10 )}

Frequently Asked Questions (FAQ)

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