Derivative of a Function Defined by an Integral
If:
$$F(x)=\int_a^x f(t)\,dt$$
and $$f$$ is continuous, then:
$$F'(x)=f(x)$$
Usage
- Used to differentiate functions represented as definite integrals.
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CAT Formulas
Applications of Derivatives
Derivative of a Function Defined by an Integral
Derivative of a Function Defined by an Integral
If:
$$F(x)=\int_a^x f(t)\,dt$$
and $$f$$ is continuous, then:
$$F'(x)=f(x)$$
Usage
- Used to differentiate functions represented as definite integrals.
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