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Popular >

derivative of f(t)=t^4-20t^3+112t^2

Solution

derivative of

f (t) = t^{4} - 20 t^{3} + 112 t^{2}

Solution

4 t^{3} - 60 t^{2} + 224 t

Solution steps

\frac{d}{d t} (t^{4} - 20 t^{3} + 112 t^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (t^{4}) - \frac{d}{d t} (20 t^{3}) + \frac{d}{d t} (112 t^{2})

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

\frac{d}{d t} (20 t^{3}) = 60 t^{2}

\frac{d}{d t} (112 t^{2}) = 224 t

= 4 t^{3} - 60 t^{2} + 224 t

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Frequently Asked Questions (FAQ)

What is the derivative of f(t)=t^4-20t^3+112t^2 ?
The derivative of f(t)=t^4-20t^3+112t^2 is 4t^3-60t^2+224t
What is the first derivative of f(t)=t^4-20t^3+112t^2 ?
The first derivative of f(t)=t^4-20t^3+112t^2 is 4t^3-60t^2+224t