Evaluate lim h-->0 f(x0+h)-f(x0)/h for the given x0 an function f.
f(x)= 3 square root x +2 for X0=4
the 2 is not uner the square root sign.
For unlimited access to Homework Help, a Homework+ subscription is required.
Check in each of the following cases , the equation F=0 defines y locally as a continuously differentiable function Ï(x) near a=[x0,y0] and calculate DÏ(x0).
a) F(x,y)=y^2-x^3-2sin(pi(x-y)), x0=1,y0=-1
b) F(x1,x2,y)=e^(x1y) +y^2cos(x1x2)-1, x0=[1 2 ], y0 = 0
A differentiable function f has the properties(i) f(x) 0 for x > x0,(iii) f(7) = 7, f'(7) = 5.Use the tangent line at (7, 7) to the graph of f to compute an approximate value for the value of x0.