Leibniz Rule for Variable Upper Limit
If:
$$F(x)=\int_a^{g(x)}f(t)\,dt$$
then:
$$F'(x)=f(g(x))g'(x)$$
Usage
- Used when the upper limit of an integral is itself a function of $$x$$.
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CAT Formulas
Applications of Derivatives
Leibniz Rule for Variable Upper Limit
Leibniz Rule for Variable Upper Limit
If:
$$F(x)=\int_a^{g(x)}f(t)\,dt$$
then:
$$F'(x)=f(g(x))g'(x)$$
Usage
- Used when the upper limit of an integral is itself a function of $$x$$.
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