The derivative of f(x) = x mod b is
f'(x)=1, except where x is a multiple of b, when it is undefined.
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A linear function, for example y(x) = ax + b has the first derivative a.
Solve for when the first derivative is equal to zero. If you don't know how to take a derivative, then put the equation into the form y = Ax2 + Bx + C. The derivative of this will be 2Ax + B, so at x = -B / (2*A), and y = -B2/(4*A) + C
Yes.
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.
The first derivative is the rate of change, and the second derivative is the rate of change of the rate of change.