# Answer to Question #15569 in Calculus for hsd

Question #15569

F(x)=(5−x^2)/(4+x^2) Find f′(x) and f′(1) using QUOTIENT RULE?

I already got f'(x), only need f'(1)

f'(x)= -18x / (4+x^2)^2

I already got f'(x), only need f'(1)

f'(x)= -18x / (4+x^2)^2

Expert's answer

f'(X)=(-2x(4+x^2)-2x(5-x^2))/(4+x^2)^2=-18x/(4+x^2)^2

f'(1)=-18/25

f'(1)=-18/25

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