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Why instantaneous rate of change called derivative?
Because it is calculated as the limiting value of the change divided by the time taken for the change, the limit being taken as the time interval becomes infinitesimally small. That is how the derivative with respect to time is defined.
Is it derivative of or derivative from?
"Derivative of"
What is the second derivative of a function's indefinite integral?
well, the second derivative is the derivative of the first derivative. so, the 2nd derivative of a function's indefinite integral is the derivative of the derivative of the function's indefinite integral. the derivative of a function's indefinite integral is the function, so the 2nd derivative of a function's indefinite integral is the derivative of the function.
How do you take the derivative of a trig function?
Trig functions have their own special derivatives that you will have to memorize. For instance: the derivative of sinx is cosx. The derivative of cosx is -sinx The derivative of tanx is sec2x The derivative of cscx is -cscxcotx The derivative of secx is secxtanx The derivative of cotx is -csc2x
What is the derivative of 40?
The derivative of 40 is zero. The derivative of any constant is zero.
