Higher-Order Derivatives
Read this topicExplanations 3
- Suppose we want to take the second derivative of f(x)f(x)f(x). What exactly is that? The second derivative of f(x)f(x)f(x) is f"(x)f"(x)f"(x). Basically you take the derivative …
By Vincent Huang
- I've attached a worksheet containing some higher-order derivatives. Good luck!
By Freya Edholm
- (Video) Higher Order Derivatives in Calculus by mathtutordvd Here's a video by mathtutordvd explaining how to find higher order derivatives.
By Alex Federspiel
Problems 10
- Compute the 5th derivative of f(x)=x5f(x) = x^5f(x)=x5.
- If f(x)=x8−7x7+9x4−3x5+2x−1f(x) = x^8 - 7x^7 + 9x^4 - 3x^5 + 2x - 1f(x)=x8−7x7+9x4−3x5+2x−1, compute f(8)(x)f^{(8)}(x)f(8)(x).
- If f(x)=x2f(x)=x^2f(x)=x2 find f′′′(53)f'''(53)f′′′(53).
- If f(x)=x3f(x)=x^3f(x)=x3 find f′′′(231)f'''(231)f′′′(231).
- True or False\text{True or False}True or False === If f(x)=xnf(x)=x^nf(x)=xn where n∈Nn\in\mathbb{N}n∈N, then f(n)=n!f^{(n)}=n!f(n)=n!
- Let f(x)=4x5+3x3−7f(x)=4x^5+3x^3-7f(x)=4x5+3x3−7. Find f′′(x)f''(x)f′′(x).
- Let f(x)=4x5+3x3−7f(x)=4x^5+3x^3-7f(x)=4x5+3x3−7. Find f′′′(x)f'''(x)f′′′(x).
- Let f(x)=4x5+3x3−7f(x)=4x^5+3x^3-7f(x)=4x5+3x3−7. Find f(4)(x)f^{(4)}(x)f(4)(x).
- Let f(x)=4x5+3x3−7f(x)=4x^5+3x^3-7f(x)=4x5+3x3−7. Find f(5)(x)f^{(5)}(x)f(5)(x).
- Let f(x)=4x5+3x3−7f(x)=4x^5+3x^3-7f(x)=4x5+3x3−7. Find f(6)(x)f^{(6)}(x)f(6)(x).