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Popular >

derivative of 4sin(xcos(x)+4sin(x))

Solution

\frac{d}{d x} (4 sin (x) cos (x) + 4 sin (x))

Solution

4 cos (2 x) + 4 cos (x)

Solution steps

\frac{d}{d x} (4 sin (x) cos (x) + 4 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 sin (x) cos (x)) + \frac{d}{d x} (4 sin (x))

\frac{d}{d x} (4 sin (x) cos (x)) = 4 cos (2 x)

\frac{d}{d x} (4 sin (x)) = 4 cos (x)

= 4 cos (2 x) + 4 cos (x)

Popular Examples

integral of 1/((a+by)^3)

\int \frac{1}{( a + b y ) ^{3}} d y

integral of y/(sqrt(4-y^2))

\int \frac{y}{4 - y ^{2}} d y

(\partial)/(\partial z)(5x^2-3xy+xyz)

\frac{\partial}{\partial z} (5 x^{2} - 3 x y + x yz)

(\partial)/(\partial t)(ln(3x+3ct))

\frac{\partial}{\partial t} (ln (3 x + 3 c t))

limit as x approaches 0 of 1/x-1/(e^x)

x \to 0 lim (\frac{1}{x} - \frac{1}{e ^{x}})

Frequently Asked Questions (FAQ)

What is the derivative of 4sin(xcos(x)+4sin(x)) ?
The derivative of 4sin(xcos(x)+4sin(x)) is 4cos(2x)+4cos(x)
What is the first derivative of 4sin(xcos(x)+4sin(x)) ?
The first derivative of 4sin(xcos(x)+4sin(x)) is 4cos(2x)+4cos(x)