How do i find the slope of curve (calculus) using the formula lim h->0 (f(a+h)-f(a))/h for the function f(x)= |x| at x=2?
* We first need to calculate the difference quotient. [ f (x + h) f(x) ] / h = [ m (x + h) + b (m x + b) ] / h = [ m h ] / h = m * The derivative f ' is given by the limit of m as h -->0. Hence f '(x) = m * The derivative of a linear function f(x) = m x + b is equal to the slope m of its graph. ChaCha!
Answered by Jordan T. -
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