What is the derivative of-5/4 t^4+120t^2 ?

The derivative of-5/4 t^4+120t^2 is -5t^3+240t

What is the first derivative of-5/4 t^4+120t^2 ?

The first derivative of-5/4 t^4+120t^2 is -5t^3+240t

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derivative of

- \frac{5}{4} t^{4} + 120 t^{2}

- 5 t^{3} + 240 t

Solution steps

\frac{d}{d t} (- \frac{5}{4} t^{4} + 120 t^{2})

Simplify

- \frac{5}{4} t^{4} + 120 t^{2} : - \frac{5 t ^{4}}{4} + 120 t^{2}

= \frac{d}{d t} (- \frac{5 t ^{4}}{4} + 120 t^{2})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d t} (\frac{5 t ^{4}}{4}) + \frac{d}{d t} (120 t^{2})

\frac{d}{d t} (\frac{5 t ^{4}}{4}) = 5 t^{3}

\frac{d}{d t} (120 t^{2}) = 240 t

= - 5 t^{3} + 240 t

What is the derivative of-5/4 t^4+120t^2 ?
The derivative of-5/4 t^4+120t^2 is -5t^3+240t
What is the first derivative of-5/4 t^4+120t^2 ?
The first derivative of-5/4 t^4+120t^2 is -5t^3+240t