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Popular >

derivative of s(t)=t^3-5t^2-3t+8

Solution

derivative of

s (t) = t^{3} - 5 t^{2} - 3 t + 8

Solution

3 t^{2} - 10 t - 3

Solution steps

\frac{d}{d t} (t^{3} - 5 t^{2} - 3 t + 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (t^{3}) - \frac{d}{d t} (5 t^{2}) - \frac{d}{d t} (3 t) + \frac{d}{d t} (8)

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

\frac{d}{d t} (5 t^{2}) = 10 t

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

\frac{d}{d t} (8) = 0

= 3 t^{2} - 10 t - 3 + 0

Simplify

= 3 t^{2} - 10 t - 3

Popular Examples

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derivative of f(x)=x^2*e^{-x^2}derivative of

f (x) = x^{2} \cdot e^{- x^{2}}

f (x) = \frac{50}{x}

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\int y^{\frac{4}{3}} d y

inverse oflaplace (e^{-2s})/(s^2+16)inverse laplace

\frac{e ^{- 2 s}}{s ^{2} + 16}

Frequently Asked Questions (FAQ)

What is the derivative of s(t)=t^3-5t^2-3t+8 ?
The derivative of s(t)=t^3-5t^2-3t+8 is 3t^2-10t-3
What is the first derivative of s(t)=t^3-5t^2-3t+8 ?
The first derivative of s(t)=t^3-5t^2-3t+8 is 3t^2-10t-3