3.10: Derivatives of General Exponential and Logarithmic Functions

Exponential and Logarithmic derivatives are super easy. Making up derivative problems has also gotten easier.. I feel like I could sit here all day making up problems and solving.. I'm actually having fun..

Problem:

1.Find the derivative of csc(ln15x)*(11^x^2 + tan(x^(4/5))).

Use the product rule: csc(ln15x)*(11^x^2 + tan(x^(4/5)))' + (csc(ln15x))'*(11^x^2 + tan(x^(4/5)))

csc(ln15x)*(ln 11*11^x)(2x) + sec^2(x^(4/5))((4/5)x^(-1/5)) - csc(ln15x)*cot(ln15x*(1/15x)*(15)*(11^x^2 + tan(x^(4/5)))