Find the derivative of each of the following functions, in terms of x, and determine the rate of change at each of the stated values of x \text { (a) } f(x)=3 x^{4}-x^{3}+2 x-6 Find rate of change at x = 2 g(x)=\frac{3+\sqrt{x}}{x} Find rate of change at x = 4 -2x(c) h(x)=100 e%3D Find rate of change at x = 0 \text { (c) } h(x)=100 e^{-2 x}

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7

Fig: 8