Differential equationsSuppose that f(5) = 2, f'(5) = 3, g(5) = -6
3 months ago
Suppose that f(5) = 2, f'(5) = 3, g(5) = -6, and g'(5) = 1. Find the following values: (f/g)'(5)
1 Answers
Best Answer
Callings Staff answered 3 months ago
(1)Rewrite the function as a quotient. (f/g)(x)=(f(x))/(g(x)) (2)Find the derivative using the quotient rule. (f/g)'(x)=(f'(x)g(x)-f(x)g'(x))/([g(x)]^(2)) (3)Substitute x=5. (f/g)'(5)=(f'(5)g(5)-f(5)g'(5))/([g(5)]^(2)) Substitute f'(5)=3, g(5)=-6, f(5)=2, and g'(5)=1. =(3(-6)-2(1))/((-6)^(2)) (5)Simplify =(-20)/(36) (6)Reduce the tion. =-(5)/(9)
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