Derivative of (5/16)e^(4(ln(x)))

Derivative of (5/16)e^(4(ln(x))). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of (5/16)e^(4(ln(x))):


((5/16)*e^(4*ln(x)))'

(5/16)'*e^(4*ln(x))+(5/16)*(e^(4*ln(x)))'

0*e^(4*ln(x))+(5/16)*(e^(4*ln(x)))'

0*e^(4*ln(x))+(5/16)*e^(4*ln(x))*((4*ln(x))'*ln(e)+(4*ln(x)*(e)')/e)

0*e^(4*ln(x))+(5/16)*e^(4*ln(x))*((4*ln(x))'*ln(e)+(4*ln(x)*0)/e)

0*e^(4*ln(x))+(5/16)*e^(4*ln(x))*(((4)'*ln(x)+4*(ln(x))')*ln(e)+(4*ln(x)*0)/e)

0*e^(4*ln(x))+(5/16)*e^(4*ln(x))*((0*ln(x)+4*(ln(x))')*ln(e)+(4*ln(x)*0)/e)

0*e^(4*ln(x))+(5/16)*e^(4*ln(x))*((0*ln(x)+4*(1/x))*ln(e)+(4*ln(x)*0)/e)

0*e^(4*ln(x))+(5/16)*e^(4*ln(x))*((4*ln(x)*0)/e+(4/x)*ln(e))

0*e^(4*ln(x))+(5/16)*e^((4)'*ln(x)+4*(ln(x))')

0*e^(4*ln(x))+(5/16)*e^(0*ln(x)+4*(ln(x))')

0*e^(4*ln(x))+(5/16)*e^(0*ln(x)+4*(1/x))

0*e^(4*ln(x))+(5/16)*0^(4*ln(x))

0*e^(4*ln(x))+(5/16)*((4*e^(4*ln(x)))/x)

((5/4)*e^(4*ln(x)))/x

The calculation above is a derivative of the function f (x)

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