We want to derive a rule for the derivative of a composite function of the form f∘g in terms of the derivatives of f and g. Earlier, you were asked if you find the effect of g on the derivative by com...We want to derive a rule for the derivative of a composite function of the form f∘g in terms of the derivatives of f and g. Earlier, you were asked if you find the effect of g on the derivative by comparing the derivative of f(x)=x 2 with the derivative of f(x)=(5x) 2 where g(x)=5x. The derivative of a function is the slope of the line tangent to the function at a given point on the graph.