Solve s(t) = t^2 * c - ScanMath

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Type your math problem... s(t) = t^2 * c

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Question

Function

s^{'} (t) = 2 c t

Evaluate

s (t) = t^{2} c

Evaluate

s (t) = c t^{2}

Take the derivative of both sides

s^{'} (t) = \frac{d}{d t} (c t^{2})

Use differentiation rule \frac{d}{d x} (c f (x)) = c \times \frac{d}{d x} (f (x))

s^{'} (t) = c \times \frac{d}{d t} (t^{2})

Use \frac{d}{d x} x^{n} = n x^{n - 1} to find derivative

s^{'} (t) = c \times 2 t

Solution

s^{'} (t) = 2 c t

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