Higher Order Derivatives in Calculus
Higher Order Derivatives in Calculus

 Home | Calculus I | Calculus II | Calculus III | Study Tips Calculus II Topics Coming Soon! Calculus III Topics Coming Soon! Study Tips Higher-Order Derivatives We know how to take some derivatives, but what if we want to find the second derivative, or more? To do that, we simply differentiate again! First, however, let’s go over the notation: First Derivative: f ‘ (x) Second Derivative: f ” (x) Third Derivative: f ”’ (x) Fourth Derivative: f (4) (x) nth derivative: f (n) (x) Now, for some examples; we’ll start off with a relatively easy one. Find the third derivative of the function: Here is another. Find the second derivative of the function: Here is one which involves the product rule. Find the second derivative: And one more, this time with the quotient rule. Note that we can simplify this one before differentiating, but lets use it as is for practice: Now, for the second derivative: Hello! My name is Alex, and I am the creator of CopingWithCalculus.com. I’m not a genius or a math guru; in fact, I struggled with it for several years before becoming proficient. Eventually, I passed the AP Calculus exam in high school, and Calculus II and III in college; because I struggled with it, I understand how necessary clear, concise explanations are. That is why I created this site, and am working on a book to go along with it – to help you cope with calculus! If you have any questions or comments, don’t hesitate to send an email Copyright © 2013 Alex Makar

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