What is the derivative of 3xsin(x) ?

The derivative of 3xsin(x) is 3(sin(x)+xcos(x))

What is the first derivative of 3xsin(x) ?

The first derivative of 3xsin(x) is 3(sin(x)+xcos(x))

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derivative of

3 x sin (x)

3 (sin (x) + x cos (x))

Solution steps

\frac{d}{d x} (3 x sin (x))

Take the constant out:

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

= 3 \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)

= 3 (\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)

= 3 (1 \cdot sin (x) + cos (x) x)

Simplify

= 3 (sin (x) + x cos (x))

ln (x^{8})

\frac{d}{d x} ((\frac{x ^{2} + 4}{x ^{2} - 4})^{5})

\frac{d ^{3}}{d x ^{3}} ((2 x + 5)^{7})

\frac{d}{d x} (x^{s i n^{2} (x)})

\frac{d}{d a} (\frac{π ( 9 a ^{2} - 1 )}{54 a ^{2}})

What is the derivative of 3xsin(x) ?
The derivative of 3xsin(x) is 3(sin(x)+xcos(x))
What is the first derivative of 3xsin(x) ?
The first derivative of 3xsin(x) is 3(sin(x)+xcos(x))