Power Rule Examples

Power Rule Simple Examples

Differentiate the following terms using the Power Rule

a) d over dx derivative operator(x4)

b) D(x2)

c)d over da derivative operator(a13)

d)D(x0)

solution to Power Rule Example question part a) shown above
solution to Power Rule Example question part b) shown above
solution to Power Rule Example question part c) shown above
solution to Power Rule Example question part d) shown above
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Derivative of a Exponent as a Fraction and as a Square Root

Differentiate the following using the Power Rule

a) d over dx derivative operator(√(x))

b) D((1/x))

solution to Power Rule Example 5 part a) shown above
solution to Power Rule Example 5 part b) shown above
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The Power Rule with Coefficients

Differentiate the following with the Power Rule

a) D(3x2)

b) d over dx derivative operator (5x3)

c)D((½)(a3)

d) d over dx derivative operator (¼)√(x)

The Power Rule involving Coefficients is still largely the same, for any coefficient C,

D((C)(xn)) = (C)(nx{n-1})

solution to Power Rule with Coefficients question part a) shown above
solution to Power Rule with Coefficients question part b) shown above
solution to Power Rule with Coefficients question part c) shown above
solution to Power Rule with Coefficients question part d) shown above
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