Exercises using Derivatives

Please select the appropriate answer for all 5 questions and then click the submit exam for grading button at the end of the page.

Question 1. What is the derivative of a constant?
(a) 0
(b) 1
(c) The constant itself
(d) -1
Question 2. What is the derivative of x-4?
(a) -4 x3
(b) -4 x-5
(c) 4 x5
(d) 4 x-5
Question 3. What is the derivative of y = log(x2)?
(a) 2x
(b) 1/x2
(c) 2/x
(d) 1/log(x2)
Question 4. Find dy/dx if y = 3t2 and x = 2t.
(a) 3
(b) 3t
(c) 6t
(d) 6t2
Question 5. Given d/dx sin x = cos x, d/dx cos x = -sin x and tan x = sin x / cos x;
Find d/dx of tan x ?
(a) sin x
(b) cos x
(c) 1/cos2x
(d) 1/sin2x