Posted by Anonymous on Friday, February 11, 2011 at 12:15pm.
Example of 4 step process
f(x) = -1/2(x^2)
Step 1
f(x + h)= -1/2(x + h)^2
f(x + h)= -1/2(x^2 + 2xh + h^2)
f(x + h)= -1/2 x^2 - xh - 1/2 h^2
Step 2
f(x + h)-f(x)= -1/2 x^2 - xh - 1/2 h^2 - (-1/2 x^2)
f(x + h)-f(x)= -1/2 x^2 - xh - 1/2 h^2 + 1/2 x^2
f(x + h) - f(x) = -xh - 1/2 h^2
f(x + h) - f(x) = h (-x - 1/2 h)
Step 3
(f(x + h) - f(x))/h = (h(-x - 1/2 h))/h
(f(x + h) - f(x))/h = -x - 1/2 h
Step 4
Evaluate lim h-->0
lim h-->0 = -x - 1/2 (0)
lim h-->0 = -x
Dx(-1/2 x^2) = -x
Evaluate log4 1/316 step by step solution
Related Questions
Math - What are is the 4 step process when finding the slope of the tangent line...
Applied Calculus...... - Find the slope m of the tangent line to the graph of ...
calculus - Use the four-step process to find the slope of the tangent line to ...
Calculus - I have a two part question that pertains to a curve (r(x)) and its ...
Calculus [finding slope of tangent line] - Find the slope of the tangent line to...
calculus please help - Use the four step process to find the slope of the ...
Pre Calculus - please help me with this problem? I don't know how ro do it. ...
Calculus: for mathmate - Find the slope of the tangent line to the graph of the ...
calculus - find the point on the graph of the given function at which the slope ...
Calculus - Find the slope m of the tangent line to the graph of the function at ...
For Further Reading
