Calculus

Differentiation Rules

Differentiation - Power Rule

         

What is the derivative of y=5x3+1x6\displaystyle y=5 x^{3}+\frac{1}{x^{6}}?

What is the derivative of 17x16-17 x^{16}?

If f(x)=k=1nxk, f(x) = \displaystyle{\sum_{k=1}^{n} x^k}, what is limnf(1)3n2+4n+5?\displaystyle{ \lim_{n \rightarrow \infty} \frac{f'(1)}{3n^2+4n+5} }?

What is the derivative of y=4x+4x2? y = \frac{4}{x}+\frac{4}{x^2}?

What is the derivative of x15 x^{15} ?

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