f(x) = c, where c is constant, has a derivative of zero.
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If the second derivative of a function is zero, then the function has a constant slope, and that function is linear. Therefore, any point that belongs to that function lies on a line.
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 derivative of a linear function is always its gradientIn the function y = x-1, the gradient is 1 as 1 is the co-efficient of 1x.
The derivative of a linear function is always its gradientIn the function y = x-1, the gradient is 1 as 1 is the co-efficient of 1x.
f(x)=1 f'(x)=0 because the derivative of a constant is ALWAYS 0.