💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

# Find $f'(x)$. Compare the graphs of $f$ and $f'$ and use them to explain why your answer is reasonable.$f(x) = x^4 - 2x^3 + x^2$

## $$f^{\prime}(x)=4 x^{3}-6 x^{2}+2 x$$

Derivatives

Differentiation

### Discussion

You must be signed in to discuss.

Lectures

Join Bootcamp

### Video Transcript

he has cleared. So when you right here. So we have our original, and we're gonna find our derivatives, which is equal to X the fourth minus two ex cute bliss X square. Take the derivative. When we get for X Cube minus six X square close to acts, we're gonna graph it our original I'm gonna do in black and are derivative Odd zoo in red. So we have thio Note that are derivative is positive when the originals increasing and negative When the original is decreasing And whenever FF X is at a local minimum or max the derivative is equal to zero.

Derivatives

Differentiation

Lectures

Join Bootcamp