Calculus

Derivatives

Derivatives of Logarithmic Functions

         

When f(x)=ln(x13) f(x) = \ln ( x^{13} ) , what is the value of f(37)? f'(37)?

Details and assumptions

ln \ln is the logarithm base e e , also called the natural logarithm.

If f(x)=4ln(e5x) f(x) = 4 \ln (e^ {5} x) , what is the value of f(1) f'(1) ?

If f(x)=log2x f(x) = \log_{2}{x} , what is f(x) f'(x) ?

For y=6lnx+9x,y=6\ln x+9x, what is the value of xdydx?x \cdot \frac{dy}{dx} ?

If f(x)=log3(x+2) f(x) = \log_{3}{(x+2)} , what is f(x) f'(x) ?

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