Questions from General Calculus

Q: If f (x) = x2/ (1 + x

If f (x) = x2/ (1 + x), find f"(1).

Q: Differentiate. g (x) = √x ex

Differentiate. g (x) = √x ex

Q: If g (x) = x/ex, find g

If g (x) = x/ex, find g(n)(x).

Q: In Example 6 we considered a bacteria population that doubles every hour

In Example 6 we considered a bacteria population that doubles every hour. Suppose that another population of bacteria triples every hour and starts with 400 bacteria. Find an expression for the number...

Q: Suppose that f (2) = -3, g (

Suppose that f (2) = -3, g (2) = 4, f'(2) = -2, and. g'(2) Find h'(2).

Q: If f (x) = exg, where g (0

If f (x) = exg, where g (0) = 2 and g'(0) = 5, find f'(0).

Q: If h (2) = 4 and h'(2)

If h (2) = 4 and h'(2) = -3, find d/dx (h (x)/x) |x-2

Q: Use the definition of a derivative to find f'(x)

Use the definition of a derivative to find f'(x) and f''(x). Then graph f, f', and f'' on a common screen and check to see if your answers are reasonable. f (x) = 3x2 + 2x + 1

Q: If is a differentiable function, find an expression for the derivative

If is a differentiable function, find an expression for the derivative of each of the following functions.

Q: If f is a differentiable function, find an expression for the

If f is a differentiable function, find an expression for the derivative of each of the following functions.