What is the derivative of 3/4 x^{12} ?

The derivative of 3/4 x^{12} is 9x^{11}

What is the first derivative of 3/4 x^{12} ?

The first derivative of 3/4 x^{12} is 9x^{11}

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\frac{d}{d x} (\frac{3}{4} x^{12})

9 x^{11}

Solution steps

\frac{d}{d x} (\frac{3}{4} x^{12})

Take the constant out:

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

= \frac{3}{4} \frac{d}{d x} (x^{12})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{3}{4} \cdot 12 x^{12 - 1}

Simplify

\frac{3}{4} \cdot 12 x^{12 - 1} : 9 x^{11}

= 9 x^{11}

y^{^{'}} = - \frac{1}{x} y^{2} - \frac{1}{x} y

x^{\frac{2}{3}} + y^{\frac{2}{3}} = 5, (- 8, - 1)

\int_{1}^{3} x^{4} ln (x) d x

\frac{d y}{d t} = 5 y + y^{4}

\int \frac{x}{100} d x

What is the derivative of 3/4 x^{12} ?
The derivative of 3/4 x^{12} is 9x^{11}
What is the first derivative of 3/4 x^{12} ?
The first derivative of 3/4 x^{12} is 9x^{11}