What is the derivative of (x+3Inx^2) ?

The derivative of (x+3Inx^2) is nI(3x^2+6x)

What is the first derivative of (x+3Inx^2) ?

The first derivative of (x+3Inx^2) is nI(3x^2+6x)

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Popular >

\frac{d}{d x} ((x + 3) I n x^{2})

n I (3 x^{2} + 6 x)

Solution steps

\frac{d}{d x} ((x + 3) I n x^{2})

Treat

n, I

as a constant

Take the constant out:

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

= I n \frac{d}{d x} ((x + 3) x^{2})

Apply the Product Rule:

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

f = x + 3, g = x^{2}

= I n (\frac{d}{d x} (x + 3) x^{2} + \frac{d}{d x} (x^{2}) (x + 3))

\frac{d}{d x} (x + 3) = 1

\frac{d}{d x} (x^{2}) = 2 x

= I n (1 \cdot x^{2} + 2 x (x + 3))

Simplify

I n (1 \cdot x^{2} + 2 x (x + 3)) : n I (3 x^{2} + 6 x)

= n I (3 x^{2} + 6 x)

\int (7 x - 6)^{4} d x

\int \frac{1}{y ^{2} + 2 y} d y

x \to \infty lim (3 x)

\frac{d}{d x} (e^{3 x})

x \to 1 lim (3 1 - x)

What is the derivative of (x+3Inx^2) ?
The derivative of (x+3Inx^2) is nI(3x^2+6x)
What is the first derivative of (x+3Inx^2) ?
The first derivative of (x+3Inx^2) is nI(3x^2+6x)