Derivatives (Standard)

Derivatives: core idea

• 1. If $f(x)=(x+1)^5$, find $f'(0)$.

  Check

• 2. If $f(x)=\ln(x^2+1)$, find $f'(0)$.

  Check

• 3. If $f(x)=\sqrt{1+x^2}$, find $f'(0)$.

  Check

• 4. If $f(x)=\tan(3x)$, find $f'(0)$.

  Check

• 5. Slope of $y=x^3-x$ at $x=2$?

  Check

• 6. Critical points of $x^3-3x$: enter the positive one.

  Check

• 7. Second derivative of $x^4$ at $x=1$?

  Check

• 8. If $f(x)=e^{2x}$, find $f'(0)$.

  Check

• 9. If $f(x)=\arcsin x$, find $f'(0)$.

  Check