Derivative of t2t^{2}

The calculator will find the derivative of t2t^{2}, with steps shown.

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Your Input

Find ddt(t2)\frac{d}{dt} \left(t^{2}\right).

Solution

Apply the power rule ddt(tn)=ntn1\frac{d}{dt} \left(t^{n}\right) = n t^{n - 1} with n=2n = 2:

(ddt(t2))=(2t){\color{red}\left(\frac{d}{dt} \left(t^{2}\right)\right)} = {\color{red}\left(2 t\right)}

Thus, ddt(t2)=2t\frac{d}{dt} \left(t^{2}\right) = 2 t.

Answer

ddt(t2)=2t\frac{d}{dt} \left(t^{2}\right) = 2 tA