Higher order derivatives
- File type
- Microsoft PowerPoint
- Use
- Digital activity
- Subject
- Maths
- Topic
- Calculus, Derivative
- Resource types
- Lesson Plans
- Use
- Digital activity
From the author
About this resource
PowerPoint presentation, 12 slides explaining how to find second, third or higher-order derivatives.
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In the classroom
Teaching tips & learning objectives
Learning objectives
Compute second and higher-order derivatives of polynomial, trigonometric, exponential and logarithmic functions
Write higher-order derivatives in prime and f^(n)(x) notation
Interpret the second derivative as acceleration
Skills covered
Successive differentiation — differentiating a polynomial again and again to reach the third derivative
Chain rule — differentiating sin(3x), e^(-2x) and ln(7x) repeatedly
Physical interpretation — connecting velocity and acceleration to first and second derivatives
Good to know
Questions teachers ask about this resource
What should students already know?
The slides assume students can find a first derivative and apply the chain rule.
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Resource details
Concepts & topics
Core concepts
Core concepts
Higher-order derivatives
Second derivative
Chain rule
Topics
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