Chain Rule Implicit Differentiation Inverse Functions
Authored by Anthony Clark
Mathematics
12th Grade
CCSS covered
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9 questions
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1.
MATH RESPONSE QUESTION
1 min • 1 pt
Differentiate the function y = cos-1(x) with respect to x. dy/dx =
Mathematical Equivalence
ON
2.
MATH RESPONSE QUESTION
1 min • 1 pt
Use implicit differentiation to find dy/dx for the equation x2y + xy2 = 10.
Mathematical Equivalence
ON
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the derivative of the inverse function y = f-1(x) if f(x) = 3x3 + 2.
Tags
CCSS.HSF-BF.B.4A
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Differentiate the function y = sec-1(x) with respect to x.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The graph of f(x) is given. If h(x) = (f(x))3, what is the instantaneous rate of change of h(x) at x = 2?
1/2
1
3/2
3
6.
MATH RESPONSE QUESTION
1 min • 1 pt
Find the second derivative of the following functions with respect to x.
y=(3x+2)10 d2y/dx2 =
Mathematical Equivalence
ON
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The function f is given by f(x) = 2ln(1 - x2) + ex, where f(0) = 1. If h(x) = -3f-1(x), what is h'(1)?
-1/3
-3
0
1
Tags
CCSS.HSF-BF.B.4B
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