What is the derivative of f(x)=x^4-6x^3 ?

The derivative of f(x)=x^4-6x^3 is 4x^3-18x^2

What is the first derivative of f(x)=x^4-6x^3 ?

The first derivative of f(x)=x^4-6x^3 is 4x^3-18x^2

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derivative of

f (x) = x^{4} - 6 x^{3}

4 x^{3} - 18 x^{2}

Solution steps

\frac{d}{d x} (x^{4} - 6 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4}) - \frac{d}{d x} (6 x^{3})

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

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

= 4 x^{3} - 18 x^{2}

\int 7 x^{2} + x x d x

\frac{d y}{d t} = 6 y + cos (3 t), y (0) = \frac{28}{15}

\int 7 5 (8 - 2 x)^{8} d x

f (x) = x^{4} + 6 x^{2} - x, at x = 1

\frac{d}{d x} (ln (\frac{a}{x}))

What is the derivative of f(x)=x^4-6x^3 ?
The derivative of f(x)=x^4-6x^3 is 4x^3-18x^2
What is the first derivative of f(x)=x^4-6x^3 ?
The first derivative of f(x)=x^4-6x^3 is 4x^3-18x^2