What is the derivative of 3t^2-12 ?

The derivative of 3t^2-12 is 6t

What is the first derivative of 3t^2-12 ?

The first derivative of 3t^2-12 is 6t

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derivative of

3 t^{2} - 12

6 t

Solution steps

\frac{d}{d t} (3 t^{2} - 12)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (3 t^{2}) - \frac{d}{d t} (12)

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

\frac{d}{d t} (12) = 0

= 6 t - 0

Simplify

= 6 t

y = x^{2}, y = 4 x - x^{2}

\frac{\partial}{\partial y} ((x + y)^{e^{y^{2}}})

\int_{0}^{4} \frac{1}{x} d x

x \to \infty lim (3 x - 4)

\frac{2 d y}{d x} - 4 x y = 8 x