### Home > PC3 > Chapter 7 > Lesson 7.2.5 > Problem7-129

7-129.

Approximate the slope of the tangent line (instantaneous rate of change) for the function f(x) = 5xx3 at x = 1. Homework Help ✎

$\frac{5^{x+h}-(x+h)^3-(5^x-x^3)}{h}$

$\frac{(5^{x+h}-5^x)-(x^3+3x^2h+3xh^2+h^3)+x^3}{h}$

$\frac{5^x(5^h-1)-3x^2h-3xh^2-h^2}{h}$

Let x = 1 and h = 0.001.