Solve f(x) = a * x b - ScanMath

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Type your math problem... f(x) = a * x b

x

Question

Function

f^{'} (x) = ab

Evaluate

f (x) = a x b

Evaluate

f (x) = ab x

Take the derivative of both sides

f^{'} (x) = \frac{d}{d x} (ab x)

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

f^{'} (x) = ab \times \frac{d}{d x} (x)

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

f^{'} (x) = ab \times 1

Solution

f^{'} (x) = ab

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