What is the derivative of x^9sin(x) ?

The derivative of x^9sin(x) is 9x^8sin(x)+cos(x)x^9

What is the first derivative of x^9sin(x) ?

The first derivative of x^9sin(x) is 9x^8sin(x)+cos(x)x^9

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derivative of

x^{9} sin (x)

9 x^{8} sin (x) + cos (x) x^{9}

Solution steps

\frac{d}{d x} (x^{9} sin (x))

Apply the Product Rule:

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

f = x^{9}, g = sin (x)

= \frac{d}{d x} (x^{9}) sin (x) + \frac{d}{d x} (sin (x)) x^{9}

\frac{d}{d x} (x^{9}) = 9 x^{8}

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

= 9 x^{8} sin (x) + cos (x) x^{9}

(x - 5) (5 x + 3)

x^{- 4}

\int_{2}^{4} \frac{6}{2 x - 9} d x

x \to 8 lim (x + 2)

f (x) = ln (x^{3} - 7), at x = 2

What is the derivative of x^9sin(x) ?
The derivative of x^9sin(x) is 9x^8sin(x)+cos(x)x^9
What is the first derivative of x^9sin(x) ?
The first derivative of x^9sin(x) is 9x^8sin(x)+cos(x)x^9