Question

4. Let f(x) = x2 - 81. Find f'(x). (1 point)

O
+ Vx+81
09x
w
1
x2 -81
81

Answer 1

Here we are given that ;

`{:\implies \quad \sf f(x)=x^(2)-81}`

Differentiating both sides w.r.t.x ;

`{:\implies \quad \sf f^(\prime)(x)=(d)/(dx)(x^(2)-81)}`

`{:\implies \quad \sf f^(\prime)(x)=(d)/(dx)(x^(2))-(d)/(dx)(81)}`

`{:\implies \quad \sf f^(\prime)(x)=2x^(2-1)-0}`

`{:\implies \quad \bf \therefore \quad \underline{\underline{f^(\prime)(x)=2x}}}`

This is the required answer