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Popular >

d/(dt)((x)(-3x^2+4))

Solution

\frac{d}{d t} ((t) (- 3 t^{2} + 4))

Solution

- 9 t^{2} + 4

Solution steps

\frac{d}{d t} ((t) (- 3 t^{2} + 4))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t, g = - 3 t^{2} + 4

= \frac{d t}{d t} (- 3 t^{2} + 4) + \frac{d}{d t} (- 3 t^{2} + 4) t

\frac{d t}{d t} = 1

\frac{d}{d t} (- 3 t^{2} + 4) = - 6 t

= 1 \cdot (- 3 t^{2} + 4) + (- 6 t) t

Simplify

1 \cdot (- 3 t^{2} + 4) + (- 6 t) t : - 9 t^{2} + 4

= - 9 t^{2} + 4

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Frequently Asked Questions (FAQ)

What is the d/(dt)((x)(-3x^2+4)) ?
The d/(dt)((x)(-3x^2+4)) is -9t^2+4
What is the first d/(dt)((x)(-3x^2+4)) ?
The first d/(dt)((x)(-3x^2+4)) is -9t^2+4