The first principles of derivatives, also known as the fundamental theorem of calculus, involve finding the derivative of a function from scratch. It's based on the limit definition of a derivative, which states that the derivative of a function f(x) at a point x is the limit of the difference quotient as the change in x approaches zero. Mathematically, it can be represented as:
y = f(x) with respect to its variable x. If this limit exists and is finite, then we say that: Wherever the limit exists is defined to be the derivative of f at x. This definition is also called the first principle of derivative.
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The first principles of derivatives, also known as the fundamental theorem of calculus, involve finding the derivative of a function from scratch. It's based on the limit definition of a derivative, which states that the derivative of a function f(x) at a point x is the limit of the difference quotient as the change in x approaches zero. Mathematically, it can be represented as:
f'(x) = lim(h -> 0) [f(x + h) - f(x)] / h
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Answer:
y = f(x) with respect to its variable x. If this limit exists and is finite, then we say that: Wherever the limit exists is defined to be the derivative of f at x. This definition is also called the first principle of derivative.
Step-by-step explanation: