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Popular >

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

Solution

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

Solution

6 sin^{2} (2 x) cos (2 x) + 2 sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (sin^{3} (2 x)) = 6 sin^{2} (2 x) cos (2 x)

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

= 6 sin^{2} (2 x) cos (2 x) - (- sin (2 x) \cdot 2)

Simplify

= 6 sin^{2} (2 x) cos (2 x) + 2 sin (2 x)

Graph

Popular Examples

integral of e^{-v}sin(wv)

\int e^{- v} sin (w v) d v

(dy)/(dt)=-t/y ,y(0)=4

\frac{d y}{d t} = - \frac{t}{y}, y (0) = 4

derivative of (x^2+2x/(1-x^2))

\frac{d}{d x} (\frac{x ^{2} + 2 x}{1 - x ^{2}})

tangent of x^4+6x^2-x tangent of

x^{4} + 6 x^{2} - x

integral of (sin(y))/(cos(y))

\int \frac{sin ( y )}{cos ( y )} d y

Frequently Asked Questions (FAQ)

What is the derivative of sin^3(2x-cos(2x)) ?
The derivative of sin^3(2x-cos(2x)) is 6sin^2(2x)cos(2x)+2sin(2x)
What is the first derivative of sin^3(2x-cos(2x)) ?
The first derivative of sin^3(2x-cos(2x)) is 6sin^2(2x)cos(2x)+2sin(2x)