What is the derivative of sin(x*x) ?

The derivative of sin(x*x) is xcos(x)+sin(x)

What is the first derivative of sin(x*x) ?

The first derivative of sin(x*x) is xcos(x)+sin(x)

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

x cos (x) + sin (x)

Solution steps

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

Apply the Product Rule:

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

f = sin (x), g = x

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

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

\frac{d x}{d x} = 1

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

Simplify

= x cos (x) + sin (x)

\frac{\partial}{\partial b} (e^{a} sin (a + b))

\int x^{2} - 4 x + 40 d x

y^{^{''}} + 3 y^{^{'}} = 0, y (0) = - 2, y^{^{'}} (0) = 3

f (x) = (12 x^{3} - 9 x)^{\frac{4}{3}}

\frac{d}{d x} (x^{3} - 9 x)

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