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chain rule

A formula for calculating the derivative of a composite function in calculus, stating that the derivative of f(g(x)) is f'(g(x)) multiplied by g'(x).
Danh từ
Số nhiều: chain rules

Ý nghĩa

Danh từ

A formula for calculating the derivative of a composite function in calculus, stating that the derivative of f(g(x)) is f'(g(x)) multiplied by g'(x).

Ví dụ

You need to apply the chain rule to find the derivative of this composite function.

School Life

I keep forgetting to multiply by the derivative of the inner function when using the chain rule.

School Life

The professor explained how the chain rule simplifies complex differentiation problems.

The professor explained how the chain rule simplifies complex differentiation problems.

School Life

Wait, do I use the product rule or the chain rule for this equation?

School Life

The chain rule is essential for solving problems in multivariable calculus.

The chain rule is essential for solving problems in multivariable calculus.

School Life

He stared at the page, wondering if he had applied the chain rule correctly.

He stared at the page, wondering if he had applied the chain rule correctly.

Let us derive the formula for the chain rule using limits.

Let us derive the formula for the chain rule using limits.

School Life

The textbook provides several examples of the chain rule in action.

The textbook provides several examples of the chain rule in action.

School Life

Without the chain rule, calculating the rate of change for nested functions would be nearly impossible.

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Cập nhật lần cuối: May 2026Báo lỗi