Solve for d d=(f(x+h)-f(x))/h

Problem

d=(ƒ*(x+h)−ƒ(x))/h

Solution

1. Identify the given equation as the definition of the difference quotient, which is used to find the average rate of change of a function ƒ(x) over the interval [x,x+h]

2. Recognize that the variable d is already isolated on one side of the equation.

3. Conclude that the expression represents the slope of the secant line passing through the points (x,ƒ(x)) and (x+h,ƒ*(x+h))

Final Answer

d=(ƒ*(x+h)−ƒ(x))/h

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