derivative of f(y)=yln(1+e^y)

what is the derivative of If y = x^m and y'= mx^(m-1) y" = ?

What is the derivative of f(x)=5^x log6(x)?

What is the first derivative of ln (x^2 + 2)?

what is the derivative with respect to x of the integral with respect to t of sin(t)/t with a lower...

How do I take the derivative of (cos(x))^3? Arethese right? --> 3(-sin(x))^2 *cos(x)=-3cos(x)(sin(x)...

How do I take the derivative of 3(sin(x))^2 cos(x)? Are these right--> 3(sin(x))^2 *-sin(x) + cos(x)...

derivative of (2t^3/2) + 25 using first principle

what would be the derivative of sqrt{2x+sqrt{2x+sqrt{2x}}}

first derivative of ((5x-2)^-3)/(3x-2)

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