Consider the function $f\left(x\right)=7-x^2$f(x)=7−x2.
Find an expression for the derivative $f'\left(x\right)$f′(x) using first principles.
Show all steps of working.
Hence calculate the gradient of $f\left(x\right)$f(x) at the point where $x=-1$x=−1.
Apply differentiation and anti-differentiation techniques to polynomials
Apply calculus methods in solving problems