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Popular >

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

Solution

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

Solution

- sin (2 x) - 2 cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - sin (2 x) - 2 cos (x)

Popular Examples

tangent of y= 6/(sin(x)+cos(x)),(0,6)tangent of

y = \frac{6}{sin ( x ) + cos ( x )}, (0, 6)

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

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

(\partial)/(\partial x)(x^2-2x-xy)

\frac{\partial}{\partial x} (x^{2} - 2 x - x y)

limit as x approaches infinity of (ln(x^5))/(13x)

x \to \infty lim (\frac{ln ( x ^{5} )}{13 x})

(\partial)/(\partial x)(e^{-x/y})

\frac{\partial}{\partial x} (e^{- \frac{x}{y}})

Frequently Asked Questions (FAQ)

What is the derivative of (cos(x)^2-2sin(x)) ?
The derivative of (cos(x)^2-2sin(x)) is -sin(2x)-2cos(x)
What is the first derivative of (cos(x)^2-2sin(x)) ?
The first derivative of (cos(x)^2-2sin(x)) is -sin(2x)-2cos(x)