For f(x)=x^2+4x, find f(x+h)-f(x)/h

For f(x)=x^2+4x, find f(x+h)-f(x)/h
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1 Answer

f(x+h)=(x+h)^2+4(x+h)=x^2+2xh+h^2+4x+4h. (I assume the question asks for (f(x+h)-f(x))/h.)

Take away f(x): 2xh+h^2+4h and divide by h: 2x+h+4.

When h is very small the quotient is 2x+4, otherwise h cannot be ignored.

by Top Rated User (1.1m points)

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