What is the derivative of 7xsin(x) ?

The derivative of 7xsin(x) is 7(sin(x)+xcos(x))

What is the first derivative of 7xsin(x) ?

The first derivative of 7xsin(x) is 7(sin(x)+xcos(x))

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derivative of

7 x sin (x)

7 (sin (x) + x cos (x))

Solution steps

\frac{d}{d x} (7 x sin (x))

Take the constant out:

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

= 7 \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)

= 7 (\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)

= 7 (1 \cdot sin (x) + cos (x) x)

Simplify

= 7 (sin (x) + x cos (x))

\int_{1}^{3} 2 x + 3 d x

\frac{d}{d x} (\frac{1}{9 x + 1})

\int sin^{2} (\frac{x}{3}) d x

\frac{d}{d x} (- 2 x + \frac{1}{x})

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

What is the derivative of 7xsin(x) ?
The derivative of 7xsin(x) is 7(sin(x)+xcos(x))
What is the first derivative of 7xsin(x) ?
The first derivative of 7xsin(x) is 7(sin(x)+xcos(x))