What is the derivative of f(x)=(x^3)/4-3x ?

The derivative of f(x)=(x^3)/4-3x is (3x^2)/4-3

What is the first derivative of f(x)=(x^3)/4-3x ?

The first derivative of f(x)=(x^3)/4-3x is (3x^2)/4-3

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derivative of

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

\frac{3 x ^{2}}{4} - 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{x ^{3}}{4}) = \frac{3 x ^{2}}{4}

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

= \frac{3 x ^{2}}{4} - 3

What is the derivative of f(x)=(x^3)/4-3x ?
The derivative of f(x)=(x^3)/4-3x is (3x^2)/4-3
What is the first derivative of f(x)=(x^3)/4-3x ?
The first derivative of f(x)=(x^3)/4-3x is (3x^2)/4-3