Limits and Derivatives Quiz

N is the set of all natural numbers.

A set is a well defined collection of objects.

Sets are represented by listing the elements separated by commas and enclosed with braces.

<p>The binomial theorem is a formula that provides the coefficients of the terms in the expansion of binomials.</p> Signup and view all the answers

<p>The set builder form represents a set by writing down a property or rule which includes all the elements of the set.</p> Signup and view all the answers

<p>Limits and derivatives are fundamental concepts in calculus that deal with the behavior of functions as they approach certain values and the rate of change of functions, respectively.</p> Signup and view all the answers

<p>6</p> Signup and view all the answers

<p>DERIVATIVES</p> Signup and view all the answers

<p>20</p> Signup and view all the answers

<p>2x - 3</p> Signup and view all the answers

<p>$\cos^2(x) - \sin^2(x)$</p> Signup and view all the answers

<p>Question: Explain how to find the derivative of sin(x)cos(x) using the product rule.</p> Signup and view all the answers

<p>Question: What is the binomial theorem and how is it applied in expanding binomial expressions?</p> Signup and view all the answers

<p>sin 15° = $\frac{1}{2} - \frac{\sqrt{3}}{2}$</p> Signup and view all the answers

<p>sin 765° = sin 45°</p> Signup and view all the answers

<p>sin(𝜋 - 𝑥) = sin 𝑥</p> Signup and view all the answers

<p>cos 𝑥+cos 𝑦 = cos(7𝑥+5𝑥) = 1</p> Signup and view all the answers

<p>sin 7x - sin 5x = cot x</p> Signup and view all the answers

<p>sin 45° cos 30° - cos 45° sin 30° = 1</p> Signup and view all the answers