Differentiation

Consider the function $f\left(x\right)=7-x^2$`f`(`x`)=7−`x`2.

a

Find an expression for the derivative $f'\left(x\right)$`f`′(`x`) using first principles.

Show all steps of working.

b

Hence calculate the gradient of $f\left(x\right)$`f`(`x`) at the point where $x=-1$`x`=−1.

Easy

Approx 5 minutes

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