What is the derivative of 10t^4 ?

The derivative of 10t^4 is 40t^3

What is the first derivative of 10t^4 ?

The first derivative of 10t^4 is 40t^3

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derivative of

10 t^{4}

40 t^{3}

Solution steps

\frac{d}{d t} (10 t^{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{d}{d t} (t^{4})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 10 \cdot 4 t^{4 - 1}

Simplify

= 40 t^{3}

\frac{d y}{d x} - (x + 1) y = x y^{2}

7 t y^{^{'}} + y = 0, y (1) = 1

\int 5 x 2 x^{2} + 3 d x

y = \frac{2}{x}, y = 8 x, y = \frac{1}{8 x}

x \frac{d y}{d x} - y = x^{2} + y^{2}