What is the derivative of t^4-8t^3+10^2 ?

The derivative of t^4-8t^3+10^2 is 4t^3-24t^2

What is the first derivative of t^4-8t^3+10^2 ?

The first derivative of t^4-8t^3+10^2 is 4t^3-24t^2

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derivative of

t^{4} - 8 t^{3} + 1 0^{2}

4 t^{3} - 24 t^{2}

Solution steps

\frac{d}{d t} (t^{4} - 8 t^{3} + 1 0^{2})

Simplify

t^{4} - 8 t^{3} + 1 0^{2} : t^{4} - 8 t^{3} + 100

= \frac{d}{d t} (t^{4} - 8 t^{3} + 100)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (t^{4}) - \frac{d}{d t} (8 t^{3}) + \frac{d}{d t} (100)

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

\frac{d}{d t} (8 t^{3}) = 24 t^{2}

\frac{d}{d t} (100) = 0

= 4 t^{3} - 24 t^{2} + 0

Simplify

= 4 t^{3} - 24 t^{2}

2 cos (5 t)

y = e^{x}, y = e^{- x}, 0, 4

\frac{x - 1}{2 - x}

x \to 1 + lim (5 - x^{2})

\frac{d}{d x} (ln (\frac{e ^{x} + e ^{- x}}{2}))

What is the derivative of t^4-8t^3+10^2 ?
The derivative of t^4-8t^3+10^2 is 4t^3-24t^2
What is the first derivative of t^4-8t^3+10^2 ?
The first derivative of t^4-8t^3+10^2 is 4t^3-24t^2