Asked by Dominick
Compute d/dx(f(g(x)))
-where f(x)= square root of x
-and g(x)=x^2+7
-where f(x)= square root of x
-and g(x)=x^2+7
Answers
Answered by
Steve
f(g) = √g = √(x^2+7)
so, d/dx f(g(x)) = x/√(x^2+7)
Or, using the chain rule,
d/dx f(g) = df/dg * dg/dx
= 1/2√g * 2x
= x/√g
= x/√(x^2+7)
so, d/dx f(g(x)) = x/√(x^2+7)
Or, using the chain rule,
d/dx f(g) = df/dg * dg/dx
= 1/2√g * 2x
= x/√g
= x/√(x^2+7)
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