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Popular >

derivative of 8xsin(x)

Solution

\frac{d}{d x} (8 x sin (x))

Solution

8 (sin (x) + x cos (x))

Solution steps

\frac{d}{d x} (8 x sin (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 8 \frac{d}{d x} (x sin (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sin (x)

= 8 (\frac{d x}{d x} sin (x) + \frac{d}{d x} (sin (x)) x)

\frac{d x}{d x} = 1

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

= 8 (1 \cdot sin (x) + cos (x) x)

Simplify

= 8 (sin (x) + x cos (x))

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derivative of (e^{x^2}/((2x+1)^5))

\frac{d}{d x} (\frac{e ^{x^{2}}}{( 2 x + 1 ) ^{5}})

(\partial)/(\partial y)(4xy^3)

\frac{\partial}{\partial y} (4 x y^{3})

sum from n=1 to infinity of 2/(n*(n+2))

n = 1 \sum \infty \frac{2}{n \cdot ( n + 2 )}

f (x) = 2 sec (x)

Frequently Asked Questions (FAQ)

What is the derivative of 8xsin(x) ?
The derivative of 8xsin(x) is 8(sin(x)+xcos(x))
What is the first derivative of 8xsin(x) ?
The first derivative of 8xsin(x) is 8(sin(x)+xcos(x))