MATH 171 - Derivative Worksheet. Differentiate these for fun, or practice, whichever you need. The given answers are not simplified. 1. f(x)=4x5. |
As x approaches 3 from below and from above, the value of the function f(x) approaches f(3) = 6. Thus the limit limx→3f(x) = 6. Question 2: Find limx→2f(x): f( ... |
Answer the following questions. You need not show work for this section. (a) What is the period of f(x) = tanx? (b) What is the derivative of f(x) = xln|x| − x? |
© Graeme Henderson (2015) ~ Free Use Permitted. ~ Page 6 ~. Derivatives of Powers (Answers). Answers: 1. 𝑑𝑦. 𝑑𝑥. = 1 +. 1. 2√𝑥. 2. 𝑑𝑦. 𝑑𝑥. = 5𝑥4 −. 3. 2√𝑥. 3. |
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. |
Practice Quiz Derivatives 2018. Introduction to Calculus. Name. Find the derivative of each function. Simplify each answer. 1) y(x) = x² - 6sin(x)+8(7)*. प्र. |
These questions and solutions are based on the readings from McDonald and are identical to questions from the former set of sample questions for Exam MFE. |
Exercises: Advanced Derivatives. 1–4. Use the quotient rule to compute f0(x). Simplify your answer. 1. f(x) = x3 x2 + 1. 2. f(x) = 4 + x2. 4 − x2. 3. f(x) = e3x. |
[x2 − 4x]. = x2 + 2x(δx)+(δx)2 − 4x − 4(δx) − x2 + 4x. = 2x(δx) − 4(δx)+(δx)2. Dividing by δx gives δy δx. = 2x − 4 + δx; and the limit as δx → 0 is. |
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