SOLUTION: If h(1) = 2 and h′(1) = −3, find the value of the derivative of 𝑦 = √𝑥 ∙ h(𝑥) when 𝑥 = 1. (Hint: use the product rule.)

Algebra ->  Equations -> SOLUTION: If h(1) = 2 and h′(1) = −3, find the value of the derivative of 𝑦 = √𝑥 ∙ h(𝑥) when 𝑥 = 1. (Hint: use the product rule.)      Log On


   



Question 1148794: If h(1) = 2 and h′(1) = −3, find the value of the derivative of 𝑦 = √𝑥 ∙ h(𝑥) when 𝑥 = 1. (Hint: use the product rule.)
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y'(x)=sqrt(x)*h'(x)+h(x)*(1/2)(x^(-1/2))
=1*(-3)+(2*0.5))
=-2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: We don't need hints.