Questions from General Calculus

Q: Solve the equation for t. Solve the equation 4 *

Solve the equation for t. Solve the equation 4 * 2x = ex.

Q: Compute d/dx f (g (x)), where f

Compute d/dx f (g (x)), where f (x) and g (x) are: f (x) = x5, g (x) = 6x - 1

Q: Write expression in the form 2kx or 3kx, for a suitable

Write expression in the form 2kx or 3kx, for a suitable constant k. (2-3x * 2-2x)2/5, (91/2 * 94)x/9

Q: Solve the equation for t. Solve the equation 3x =

Solve the equation for t. Solve the equation 3x = 2ex.

Q: Solve the equation for t. Find the points on the

Solve the equation for t. Find the points on the graph of y = ex where the tangent line has slope 4.

Q: Solve the equation for t. Find the points on the

Solve the equation for t. Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

Q: Solve the equation for t. Determine the intervals where the

Solve the equation for t. Determine the intervals where the function f (x) = ln(x2 + 1) is increasing and where it is decreasing.

Q: Solve the equation for t. Determine the intervals where the

Solve the equation for t. Determine the intervals where the function f (x) = x ln x (x > 0) is increasing and where it is decreasing.

Q: Solve the equation for t. Find the equation of the

Solve the equation for t. Find the equation of the tangent line to the graph of y = ex / (1 + ex) at (0,.5).

Q: Solve the equation for t. Show that the tangent lines

Solve the equation for t. Show that the tangent lines to the graph of y = (ex - e-x) / (ex + e-x) at x = 1 and x = -1 are parallel.