Questions from General Calculus

Q: Find dy/dx, where y is a function of u

Find dy/dx, where y is a function of u such that dy/du = u/√(1 + u4). u = 2/x

Q: Function h(x) is defined in terms of a differentiable

Function h(x) is defined in terms of a differentiable f (x). Find an expression for h(x). h(x) = f (x2)

Q: Refer to the graphs of the functions f (x) and

Refer to the graphs of the functions f (x) and g (x) in Fig. 2. Determine h(1) and h ‘(1). h(x) = 2f (x) - 3g (x) Figure 2:

Q: Apply the special case of the general power rule d

Apply the special case of the general power rule d/dx [h(x)]2 = 2h(x)h’(x) and the identity fg = ¼ [(f + g)2 - (f - g)2] to prove the product rule.

Q: Refer to the graphs of the functions f (x) and

Refer to the graphs of the functions f (x) and g (x) in Fig. 2. Determine h(1) and h ‘(1). h(x) = f (x) * g (x) Figure 2:

Q: Refer to the graphs of the functions f (x) and

Refer to the graphs of the functions f (x) and g (x) in Fig. 2. Determine h(1) and h ‘(1). h(x) = f (x)/g (x) Figure 2:

Q: Refer to the graphs of the functions f (x) and

Refer to the graphs of the functions f (x) and g (x) in Fig. 2. Determine h(1) and h ‘(1). h(x) = [f (x)]2 Figure 2:

Q: Refer to the graphs of the functions f (x) and

Refer to the graphs of the functions f (x) and g (x) in Fig. 2. Determine h(1) and h ‘(1). h(x) = f (g (x)) Figure 2:

Q: Refer to the graphs of the functions f (x) and

Refer to the graphs of the functions f (x) and g (x) in Fig. 2. Determine h(1) and h ‘(1). h(x) = g( f (x)) Figure 2:

Q: The revenue, R, that a company receives is a function

The revenue, R, that a company receives is a function of the weekly sales, x. Also, the sales level, x, is a function of the weekly advertising expenditures, A, and A, in turn, is a varying function o...