A mathematician picks their derivatives from the rules of calculus, which provide systematic methods for finding the derivative of a function. This includes using techniques such as the power rule, product rule, quotient rule, and chain rule. Additionally, they may derive derivatives from first principles using limits. Ultimately, the choice depends on the specific function being analyzed and the context of the problem.
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derivatives are the functions required to find the turning point of curve
They are derivatives with respect to measures in space: normally length, area or volume.
Yes.
The derivative is the inverse of the integral. ∫ f'(x) dx = f(x) + C
The rules of derivatives are composed by the findings of 17th century scientists and mathematicians, Sir Isaac Newton and Gottfried Leibniz.