How do I solve differentiation problems step by step?

Start from the definition: differentiation refers to the process of finding the instantaneous rate at which one quantity changes with respect to another. Then apply the power, product, quotient and chain rules in the order the function is built. Follow that same order every time and most questions on this topic become mechanical rather than intimidating.

How to approach it step by step

Most learners lose marks on differentiation not because the concept is hard, but because the steps get done out of order. This is exactly where a live 1:1 session helps: LetMeTeach solves one problem visually with you, then hands you a similar one and checks each step as you work, adapting the difficulty to how you answer.

Worked example

For y = 3x⁴, the derivative is dy/dx = 12x³.

The mistake most learners make

Applying the power rule to a composite function without using the chain rule.

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