Tuesday

July 29, 2014

July 29, 2014

Posted by **Anonymous** on Friday, February 11, 2011 at 12:18pm.

f(x) = -1/2(x^2)

- calculus please help -
**helper**, Friday, February 11, 2011 at 1:35pmf(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

**Related Questions**

Calculus - Use the four-step process to find the slope of the tangent line to ...

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 ...

College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...

Calculus PLEASE HELP - Find the slope m of the tangent line to the graph of the ...

Calculus - What is the 4 step process when finding the slope of the tangent line...

Calculus - Find the slope and the equation of the tangent line to the graph of ...

Math- calculus - Given f(x) = x ^ 3 - x ^ 2 -4x +4 Find the zeros of f. Write an...

Calculus: for mathmate - Find the slope of the tangent line to the graph of the ...

Math Please Help!! - Find the slope and the equation of the tangent line to the ...