What is the derivative of t^3-27t ?

The derivative of t^3-27t is 3t^2-27

What is the first derivative of t^3-27t ?

The first derivative of t^3-27t is 3t^2-27

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derivative of

t^{3} - 27 t

3 t^{2} - 27

Solution steps

\frac{d}{d t} (t^{3} - 27 t)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (t^{3}) - \frac{d}{d t} (27 t)

\frac{d}{d t} (t^{3}) = 3 t^{2}

\frac{d}{d t} (27 t) = 27

= 3 t^{2} - 27

\int \frac{x ^{2} + 16 x - 16}{x ^{3} - 16 x} d x

\int \frac{x ^{3}}{8 - x ^{4}} d x

\frac{d}{d x} (arcsinh (x))

\frac{d y}{d x} y^{3} = 7 x^{3} + 2 x

\int (\frac{6}{4 - x ^{2}}) d x

What is the derivative of t^3-27t ?
The derivative of t^3-27t is 3t^2-27
What is the first derivative of t^3-27t ?
The first derivative of t^3-27t is 3t^2-27