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Popular >

derivative of (sin(x+x)^2+7cos(5x))

Solution

\frac{d}{d x} ((sin (x) + x)^{2} + 7 cos (5 x))

Solution

2 (sin (x) + x) (cos (x) + 1) - 35 sin (5 x)

Solution steps

\frac{d}{d x} ((sin (x) + x)^{2} + 7 cos (5 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} ((sin (x) + x)^{2}) + \frac{d}{d x} (7 cos (5 x))

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

\frac{d}{d x} (7 cos (5 x)) = - 35 sin (5 x)

= 2 (sin (x) + x) (cos (x) + 1) - 35 sin (5 x)

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Frequently Asked Questions (FAQ)

What is the derivative of (sin(x+x)^2+7cos(5x)) ?
The derivative of (sin(x+x)^2+7cos(5x)) is 2(sin(x)+x)(cos(x)+1)-35sin(5x)
What is the first derivative of (sin(x+x)^2+7cos(5x)) ?
The first derivative of (sin(x+x)^2+7cos(5x)) is 2(sin(x)+x)(cos(x)+1)-35sin(5x)