Find the derivatives of the following. 1. f(x) = 4x³ + 5x² - 7x 2. h(x) = 2x4+7x x² 3. y=x2/3+2x5/4 4. Find the equation of the tangent line to the curve f(x): 5. f(x)= (4x²-5x + 9) tan(x) 6. f(x)= (x²+1)4 7. h (x) = 04x X = 16 x² •√x at the point where x = 4.
Find the derivatives of the following. 1. f(x) = 4x³ + 5x² - 7x 2. h(x) = 2x4+7x x² 3. y=x2/3+2x5/4 4. Find the equation of the tangent line to the curve f(x): 5. f(x)= (4x²-5x + 9) tan(x) 6. f(x)= (x²+1)4 7. h (x) = 04x X = 16 x² •√x at the point where x = 4.
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...
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Transcribed Image Text:Find the derivatives of the following.
1. f(x) = 4x³ + 5x² - 7x
2. h(x) =
3. y=x2/3 + 2x5/4
2x4+7x
x²
4. Find the equation of the tangent line to the curve f(x)
5. f(x)= (4x²-5x + 9) tan(x)
6. f(x) = (x² + 1)ª
7. h (x)
=
4x
X
16
X²
-
√x at the point where x = = 4.
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Step 1: We have to find equation of tangent line of question (4) and find the derivatives of (5), (6), (7).
VIEWStep 2: Finding the equation of tangent line of question (4).
VIEWStep 3: Remaining part of calculation of question (4) and finding derivatives of questions (5), (6)
VIEWStep 4: Finding derivative of question (7)
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