Questions from General Calculus

Q: h(x) = |x| cos x Use

h(x) = |x| cos x Use the result of Exercise 114 to find the derivative of the function. Answer: h(x) = |x| cos x

Q: f(x) = |sin x| Use the

f(x) = |sin x| Use the result of Exercise 114 to find the derivative of the function. Answer: f(x) = |sin x|

Q: The linear and quadratic approximations of a function f at x =

The linear and quadratic approximations of a function f at x = a are P1 (x) = f’(a)(x - a) + f(a) and P2 (x) = ½ f’’(a)(x - a)2 + f...

Q: f(t) = (9t + 2)2/

f(t) = (9t + 2)2/3 Find the derivative of the function.

Q: The linear and quadratic approximations of a function f at x =

The linear and quadratic approximations of a function f at x = a are P1 (x) = f’(a)(x - a) + f(a) and P2 (x) = ½ f’’(a)(x - a)2 + f...

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If y is a differentiable function of u, and u is a differentiable function of...

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If y is a differentiable function of u, u is a differentiable function of v, a...

Q: Let f(x) = q1 sin x + a2 sin

Let f(x) = q1 sin x + a2 sin 2x + ∙ ∙ ∙ + an sin nx, where a1, a2, . . ., an are real numbers and where n is a positive integer.

Q: Let k be a fixed positive integer. The nth derivative

Let k be a fixed positive integer. The nth derivative polynomial. Find Pn (1)