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Differentiation techniques · GRE Mathematics Subject Test · Courselo

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GRE Math
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Calculus I: limits, derivatives and their applications

Differentiation techniques

Calculus I: limits, derivatives and their applications · Lesson 3 of 4

Lesson 3 of 4

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Unit 1

Calculus I: limits, derivatives and their applications

4 lessons · 4 h 40 min of study

Functions, trigonometry and coordinate geometry1 h of study
Limits, continuity and L’Hôpital’s rule1 h 10 min of study
Differentiation techniquesReading · 0%
Applications of the derivative1 h 30 min of study

This unit is ≈15% of the GRE Math, across 4 lessons. Full syllabus

Lesson 3 of 4 · Calculus I: limits, derivatives and their applications

Differentiation techniques

3 quick checks≈4% of the testFoundational: Foundational: the groundwork the rest of the unit builds on

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By the end you’ll be able to

Differentiate using the product, quotient and chain rules, including compositions of trigonometric, inverse trigonometric, exponential, logarithmic and hyperbolic functions
Apply implicit differentiation and logarithmic differentiation (e.g. for $x^x$ or $x^{\sin x}$)
Differentiate inverse functions using $(f^{-1})'(b) = 1/f'(a)$ where $f(a) = b$

Practice this skill

Adaptive questions on differentiation techniques.

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Find first and second derivatives of parametric and polar curves

Compute higher-order derivatives, recognise patterns in nth derivatives and apply the Leibniz rule for the nth derivative of a product

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