What is the derivative of 12xsin(x) ?

The derivative of 12xsin(x) is 12(sin(x)+xcos(x))

What is the first derivative of 12xsin(x) ?

The first derivative of 12xsin(x) is 12(sin(x)+xcos(x))

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derivative of

12 x sin (x)

12 (sin (x) + x cos (x))

Solution steps

\frac{d}{d x} (12 x sin (x))

Take the constant out:

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

= 12 \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)

= 12 (\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)

= 12 (1 \cdot sin (x) + cos (x) x)

Simplify

= 12 (sin (x) + x cos (x))

x \to 2 lim ((2 x - 1)^{2} - x^{2})

\int_{0}^{\infty} x e^{- \frac{x}{4}} d x

y = x^{2}, (- 0.7, 0.49)

\int (x - 8) sin (π x) d x

t^{2} - e^{- 9 t} + 5

What is the derivative of 12xsin(x) ?
The derivative of 12xsin(x) is 12(sin(x)+xcos(x))
What is the first derivative of 12xsin(x) ?
The first derivative of 12xsin(x) is 12(sin(x)+xcos(x))