What is the derivative of x^6sin(x) ?

The derivative of x^6sin(x) is 6x^5sin(x)+cos(x)x^6

What is the first derivative of x^6sin(x) ?

The first derivative of x^6sin(x) is 6x^5sin(x)+cos(x)x^6

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\frac{d}{d x} (x^{6} sin (x))

6 x^{5} sin (x) + cos (x) x^{6}

Solution steps

\frac{d}{d x} (x^{6} sin (x))

Apply the Product Rule:

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

f = x^{6}, g = sin (x)

= \frac{d}{d x} (x^{6}) sin (x) + \frac{d}{d x} (sin (x)) x^{6}

\frac{d}{d x} (x^{6}) = 6 x^{5}

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

= 6 x^{5} sin (x) + cos (x) x^{6}

n = 0 \sum \infty \frac{1}{10 1 ^{n}}

\frac{x}{4}, 25, 0, 12

\frac{d}{d x} (x^{2} - 4 x + 3)

e^{- 4 s}

\frac{\partial}{\partial z} (- 9 cos (3 x + yz) z)

What is the derivative of x^6sin(x) ?
The derivative of x^6sin(x) is 6x^5sin(x)+cos(x)x^6
What is the first derivative of x^6sin(x) ?
The first derivative of x^6sin(x) is 6x^5sin(x)+cos(x)x^6