4 UseUse the product, quotient, power, and or chain rule to differentiate.1) y= ( 5x? -4x +7)(9x²-8)x3-2x+92) y =x2-43) y = -7 (3x4 – 5x² + 9)²4) y = (4x + 7)5 (6 – 3x)*d3y5) /If y = 4x3 +을 finddx36) If f(x) = V2x find f"(x) and f"(4)147) If f(x) :find f"(x)(4x-5)28) Find the equation of the line tangent to the graph of f(x) = x - atwhere x = 1.9) Find the point(s), if any, where the graph has a horizontal tangent for3x43x2f(x) =210)Air is being pumped into a spherical balloon so that its volumeof 100 cm3/s. How fast is the radius of the balloon increasing whencm?11)demand functions can be modeled by the equations C =A company that manufactures sport supplements calculates125,000p = 250 - x where x is the number of units of sport suppleme10week. If production in one particular week is 1,000 units and is irT units per week, find the rate at which the profit is increasing

Answered: Image /qna-images/answer/b21c627c-96e8-45f0-9b0c-bba00d2c193a.jpg

Answered: Use the product, quotient, power, and…

Use the product, quotient, power, and or chain rule to differentiate. 1) y= ( 5x? -4x +7)(9x²-8) x3-2x+9 2) y = x2-4 3) y = -7 (3x* – 5x² + 9)² 4) y = (4x + 7)S (6 – 3x)*

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.3: Polynomial Equations

Problem 46PS

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Question

Use
Use the product, quotient, power, and or chain rule to differentiate.
1) y= ( 5x? -4x +7)(9x²-8)
x3-2x+9
2) y =
x2-4
3) y = -7 (3x4 – 5x² + 9)²
4) y = (4x + 7)5 (6 – 3x)*
d3y
5) /If y = 4x3 +
을 find
dx3
6) If f(x) = V2x find f"(x) and f"(4)
14
7) If f(x) :
find f"(x)
(4x-5)2
8) Find the equation of the line tangent to the graph of f(x) = x - at
where x = 1.
9) Find the point(s), if any, where the graph has a horizontal tangent for
3x4
3x2
f(x) =
2
10)
Air is being pumped into a spherical balloon so that its volume
of 100 cm3/s. How fast is the radius of the balloon increasing when
cm?
11)
demand functions can be modeled by the equations C =
A company that manufactures sport supplements calculates
125,000
p = 250 - x where x is the number of units of sport suppleme
10
week. If production in one particular week is 1,000 units and is ir
T units per week, find the rate at which the profit is increasing

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