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.Com
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)   (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)   (Show Source): You can put this solution on YOUR website!
Hint: We don't need hints.
RELATED QUESTIONS

If g(x)=x^2-2x+5, find and simplify g(x+h)-g(x)/h g(x+h) = (x+h)^2 - 2(x+h) + 5 = x^2... (answered by tinbar)
if h(x+1)=3h(x)+4 over 3 for all positive integers x and h(1)= -2/3, what is the value of (answered by stanbon,Edwin McCravy)
find the derivative of... (answered by fractalier)
In consider the function 1/x Find the slope of the line L tangent to the graph of... (answered by rothauserc)
h(x)=7x^2-3 find the indicated function for h(0) h(-1) h(3) h(-3)... (answered by solver91311)
If f(x)=x/1+x, what is the value of f(x+h)? a. x+h/1-x-h\ b. x+h/1+x+h c. x-h/1+x-h (answered by MathLover1)
Find the indicated function value? 13. h(x)= 3x^2+5 a. h(0) b. h(-1) c. h(4) d.... (answered by EpicTapeMaster)
If h(t)=t^2-2t find the following: h(2) H(-1)... (answered by checkley77)
If g(x)=1-2x, find the value of... (answered by jsmallt9)