# Calculus grade 12

posted by .

Determine the equation of the tangent line to the function f(x) = x + Sinx at x = pie

• Calculus grade 12 -

first find the slope at x = pi

dy/dx = 1 + cos x = 1+cos pi = 1-1 = 0
so the line is horizontal

at x = pi
y = pi + sin pi = pi + 0 = pi
so the equation of our line is
y = pi

• Calculus grade 12 -

Thank you Damon!

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More Similar Questions
The text passage contains a mathematical question and an answer to that question. The question is about finding the equation of the tangent line to the function f(x) = x + sin(x) at x = π. The answer is provided, stating that the slope of the tangent line is 0 and the equation of the tangent line is y = π.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Calculus grade 12

posted by .

Determine the equation of the tangent line to the function f(x) = x + Sinx at x = pie

• Calculus grade 12 -

first find the slope at x = pi

dy/dx = 1 + cos x = 1+cos pi = 1-1 = 0
so the line is horizontal

at x = pi
y = pi + sin pi = pi + 0 = pi
so the equation of our line is
y = pi

• Calculus grade 12 -

Thank you Damon!

## Similar Questions

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Determine the equation of the tangent line to the function (² = square): f(x) = x + cos²x at x = pie/4
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consider the function y = 2sinx a) determine dy/dx b) calculate the exact value of x for which the slope of the tangent to the graph is √2 in the interval [0, pie] c) determine the equation of the tangent in part (b). d) determine …

for each function, determine the equation of the tangent line to the graph for the indicated value of the variable. a) y = 3cosx + 4sinx + 1 , when x = pie b) y = x - 3cosx , when x = (5pie)/3

PLEASE HELP ME! Exam is in an hour and i need to finish this exam pre-test to help me ! consider the function y = 2sinx a) determine dy/dx b) calculate the exact value of x for which the slope of the tangent to the graph is √2 …
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1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. Find the derivative of 2^x^2+log2(2x^2-1) 3. Use DeMeoivre's theorem to simplify the following expressions [(Cos pie/3 + isin pie/3)^5 (cos 2pie/3- isin 2pie/3)^4]/ …
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More Similar Questions
user
The text passage contains a mathematical question and an answer to that question. The question is about finding the equation of the tangent line to the function f(x) = x + sin(x) at x = π. The answer is provided, stating that the slope of the tangent line is 0 and the equation of the tangent line is y = π.

TYPE: SINGLE_QUESTION_WITH_ANSWER