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Popular >

derivative of 7sin(x+7xcos(x))

Solution

\frac{d}{d x} (7 sin (x) + 7 x cos (x))

Solution

14 cos (x) - 7 x sin (x)

Solution steps

\frac{d}{d x} (7 sin (x) + 7 x cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 sin (x)) + \frac{d}{d x} (7 x cos (x))

\frac{d}{d x} (7 sin (x)) = 7 cos (x)

\frac{d}{d x} (7 x cos (x)) = 7 (cos (x) - x sin (x))

= 7 cos (x) + 7 (cos (x) - x sin (x))

Simplify

7 cos (x) + 7 (cos (x) - x sin (x)) : 14 cos (x) - 7 x sin (x)

= 14 cos (x) - 7 x sin (x)

Popular Examples

integral of-3y^2

\int - 3 y^{2} d y

integral of t/((1-t^2)^{3/2)}

\int \frac{t}{( 1 - t ^{2} ) ^{\frac{3}{2}}} d t

(\partial)/(\partial x)((x-1)^2)

\frac{\partial}{\partial x} ((x - 1)^{2})

derivative of 3^{-x^2}

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

integral from 1 to infinity of 10e^{-5x}

\int_{1}^{\infty} 10 e^{- 5 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of 7sin(x+7xcos(x)) ?
The derivative of 7sin(x+7xcos(x)) is 14cos(x)-7xsin(x)
What is the first derivative of 7sin(x+7xcos(x)) ?
The first derivative of 7sin(x+7xcos(x)) is 14cos(x)-7xsin(x)