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Popular >

derivative of (13-x^4/3)

Solution

\frac{d}{d x} (\frac{13 - x ^{4}}{3})

Solution

- \frac{4 x ^{3}}{3}

Solution steps

\frac{d}{d x} (\frac{13 - x ^{4}}{3})

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (13 - x^{4})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{3} (\frac{d}{d x} (13) - \frac{d}{d x} (x^{4}))

\frac{d}{d x} (13) = 0

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

= \frac{1}{3} (0 - 4 x^{3})

Simplify

\frac{1}{3} (0 - 4 x^{3}) : - \frac{4 x ^{3}}{3}

= - \frac{4 x ^{3}}{3}

Popular Examples

integral of 1/(x(3-x))

\int \frac{1}{x ( 3 - x )} d x

integral of cot^5(12x)

\int cot^{5} (12 x) d x

limit as x approaches 2x of sin(x)

x \to 2 x lim (sin (x))

derivative of (10/(x-6))

\frac{d}{d x} (\frac{10}{x - 6})

f(x)= x/(x^2-x+1)

f (x) = \frac{x}{x ^{2} - x + 1}

Frequently Asked Questions (FAQ)

What is the derivative of (13-x^4/3) ?
The derivative of (13-x^4/3) is -(4x^3)/3
What is the first derivative of (13-x^4/3) ?
The first derivative of (13-x^4/3) is -(4x^3)/3