Questions from General Calculus

Q: Sketch the graph of y = 2/(1 + x2).

Sketch the graph of y = 2/(1 + x2).

Q: Differentiate the following functions. y = eex

Differentiate the following functions. y = eex

Q: Differentiate the following functions. y = (√x + 1

Differentiate the following functions. y = (√x + 1)e-2x

Q: Differentiate the following functions. y = (x2 - x

Differentiate the following functions. y = (x2 - x + 5) / (e3x + 3)

Q: Differentiate the following functions. y = xe

Differentiate the following functions. y = xe

Q: The graph of the functions f (x) = ex2 -

The graph of the functions f (x) = ex2 - 4x2 is shown in Fig. 1. Find the first coordinates of the relative extreme points. Figure 1:

Q: Show that the function in Fig. 1 has a relative maximum

Show that the function in Fig. 1 has a relative maximum at x = 0 by determining the concavity of the graph at x = 0. Figure 1:

Q: Solve the equation for t. 4e0.03t - 2e0

Solve the equation for t. 4e0.03t - 2e0.06t = 0

Q: Calculate the following. 5-2

Calculate the following. 5-2

Q: Solve the equation for t. et - 8e0.02t

Solve the equation for t. et - 8e0.02t = 0