Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
![Ql: Differentiate:
2-csc(x)
1) f(x) =
cot(x)
2) f(x) =;
1
(x3+4)5
3) y = v2x - x2 (x2 + 1)3.
4) f(x) = V1 - x² sin-(2x + 1).
5) tan(x – y) =
y
1+x2
6) y = tan(x).
Q2:
1) Write the tangent equation to the curve x2 + 2xy- y² + x = 2, , at x = 1.
2) If f(x) = In(xe*), find f'(1).
Q3: Given that f (x) = 4x* – 32x3 + 89x2 – 95x + 29:
1) Determine the intervals of increasing and decreasing.
2) Determine the intervals of concavity up and concavity down.
3) Determine the extreme values.
solve
these
Q4: Find the following integrals (if exists):
1) "(x - 2 sin(x))dx.
2) *** dx.
4+x2
1 x3
3) S
dx
cos (x) 1+tan(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb85249c5-fdc6-4a40-9b49-763e2a398541%2F55693155-bc5d-48dd-9fac-d3a6b5126f35%2Fr91brft_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ql: Differentiate:
2-csc(x)
1) f(x) =
cot(x)
2) f(x) =;
1
(x3+4)5
3) y = v2x - x2 (x2 + 1)3.
4) f(x) = V1 - x² sin-(2x + 1).
5) tan(x – y) =
y
1+x2
6) y = tan(x).
Q2:
1) Write the tangent equation to the curve x2 + 2xy- y² + x = 2, , at x = 1.
2) If f(x) = In(xe*), find f'(1).
Q3: Given that f (x) = 4x* – 32x3 + 89x2 – 95x + 29:
1) Determine the intervals of increasing and decreasing.
2) Determine the intervals of concavity up and concavity down.
3) Determine the extreme values.
solve
these
Q4: Find the following integrals (if exists):
1) "(x - 2 sin(x))dx.
2) *** dx.
4+x2
1 x3
3) S
dx
cos (x) 1+tan(x)
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