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September 2, 2014

Homework Help: Math-Help asap please~

Posted by Jay on Thursday, December 1, 2011 at 10:51pm.

For each function, the point given is the maximum or minimum. Use the difference quotient to verify that the slope of the tangent at this point is zero.

a) f(x) = 0.5x^2 + 6x + 7.5; (-6, -10.5)

Difference quotient is

f(a + h) - f(a)/h

m= f(a+h) - f(a)/h
= f(-6+h) - f(-6)/h
= 0.5(-6+h)^2 + 6(-6+h)+ 7 - (-10.5)/h


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