Chapter 2: Derivatives – Test (From a Previous Year). Multiple Choice. Circle the choice that best completes the statement or answers the question. Also write ...

You can take the derivative of piecewise function…take the derivative of each piece. • Know the derivative of the sine, cosine and tangent. • You should be able ...

Section 5: Chain Rule. CHAIN RULE. 𝑦 = 𝑓(𝑔(𝑥)) → 𝑦′ = 𝑓′(𝑔(𝑥)) ∙ 𝑔′(𝑥). Section 6: Complex Derivatives. Section 7: Trigonometric Derivative Rules.

Answer: (C) Remember that 1) the derivative of a sum of functions is simply the sum of the derivatives of each of the functions, and 2) the power rule for ...

The AP exams will ask you to find derivatives using the various techniques and rules including: • The Power Rule for integer, rational (fractional) ...

5.4 The First Derivative Test. Calculus. 1. Assume 𝑓 𝑥 is continuous for all real numbers. The sign of its derivative is given in the table below for the.

MATH 171 - Derivative Worksheet. Differentiate these for fun, or practice, whichever you need. The given answers are not simplified. 1. f(x)=4x5.

Given that f(x)=2x2 + 4, which of the following will calculate the derivative of f(x)?. (A). [2(x + ∆x)2 + 4] − (2x2 + 4). ∆x.

Question 1 (non calculator). For each of the following curves find an equation of the tangent to the curve at the point whose x coordinate is given.

The purpose of this Collection of Problems is to be an additional learning resource for students who are taking a differential calculus course at Simon ...