What is the derivative of 7t^2+sqrt(t^3) ?

The derivative of 7t^2+sqrt(t^3) is 14t+(3sqrt(t))/2

What is the first derivative of 7t^2+sqrt(t^3) ?

The first derivative of 7t^2+sqrt(t^3) is 14t+(3sqrt(t))/2

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derivative of

7 t^{2} + t^{3}

14 t + \frac{3 t}{2}

Solution steps

\frac{d}{d t} (7 t^{2} + t^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (7 t^{2}) + \frac{d}{d t} (t^{3})

\frac{d}{d t} (7 t^{2}) = 14 t

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

= 14 t + \frac{3 t}{2}

f (x) = (1 + 3 x)^{9}, at x = 0

\frac{d}{d x} ((2 x^{3} - 3) lo g_{2} (5 - x))

f (x) = \frac{1}{4 + 3 x}, at x = 1

\frac{\partial}{\partial v} (\frac{u + v}{3})

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

What is the derivative of 7t^2+sqrt(t^3) ?
The derivative of 7t^2+sqrt(t^3) is 14t+(3sqrt(t))/2
What is the first derivative of 7t^2+sqrt(t^3) ?
The first derivative of 7t^2+sqrt(t^3) is 14t+(3sqrt(t))/2