Application of Derivatives Quiz
Ready to take the quiz?
Test takers will enter name and email before starting.
Preview questions
1. What does the derivative of a function represent?
The maximum value of the function · The slope of the tangent line at a point · The area under the curve · The intercept of the function
2. If f(x) = x^3 - 3x^2 + 4, what is f'(x)?
3x^2 - 6x · 2x^2 - 3 · 3x^2 - 3 · 6x - 3
3. To find the local maxima and minima of a function, we use which of the following?
First derivative test · Second derivative test · Both first and second derivative tests · None of the above
4. If f'(x) changes from positive to negative at x = a, what can we conclude?
f has a local minimum at x = a · f has a local maximum at x = a · f is increasing at x = a · f is decreasing at x = a
5. The equation of the tangent line to the curve y = f(x) at the point (a, f(a)) is given by:
y - f(a) = f'(a)(x - a) · y = f'(a)(x - a) + f(a) · y = f(a)(x - a) + f'(a) · y + f(a) = f'(a)(x + a)
Related quizzes
View all MathematicsVector Algebra Quiz
Vector Algebra
Class XII Mathematics Quiz on Integrals
Integrals
Class XII Mathematics Quiz on Integrals
Integrals
Class XII Mathematics Quiz - Three Dimensional Geometry
Three Dimensional Geometry
Differential Equations Quiz - Class XII
Differential Equations
Probability Quiz for Class XII
Probability