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Calculus: product and quotient rules and higher-order derivatives Flashcards | StudBud
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Calculus: product and quotient rules and higher-order derivatives
d/dx[tanx] =?
d/dx [cscx]=?
Calculus: product and quotient rules and higher-order derivatives
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It's about chapter 2 section 3 in calculus
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Questions
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Answers
1
d/dx [cscx]=?
-cscxcotx
Secxcotx
-secxtanx
Cosxtanx
2
d/dx[tanx] =?
(Secx)^2
Both are right
1/(cosx)^2
Both are wrong
3
What is the fomula for the product rule: d/dx [f(x)g(x)] = ?
None of the above
f(x)g'(x) + g'(x)f(x)
f(x)g'(x) + g(x)f'(x)
nx^n-1
4
What is the fomula for the quotient rule : d/dx [f(x)/g(x)] =?
[g(x)f'(x)- f(x)g'(x)]/ [f(x)]^2
[g(x)f'(x)- f(x)g'(x)]/ [g(x)]^2
None of the above
[g(x)f'(x) - f'(x)g(x)]/ [g(x)]^2
5
Find the derivative of this function: y= (x^2+5)/(x-8)
(x^2-16+5)/(x^2+5)
(x^2+16-5)/(x-8)^2
(x^2-16x+5)/(x-8)^2
(X^2-16x-5)/(x-8)^2
6
Find the derivative for x/x^2
Both are wrong
-x^2/x^4
-x^(-2)
A and b are right
7
Find derivative of his function: (12x^8)(27x^4)
4536x^11
1296x^11
3888x^11
-1296x^11
8
Derivative active of : cosxsinx- 2sinx3cosx=?
-5sin^2x+5cos^2x
-7cos^2x-5sin^2x
-5cos^2x+5sin^2x
All of the above
9
Find the derivative of this function: x^3cosx
3x^2cosx+x^3sinx
All of the above
3x^2cosx-x^3sinx
X^3cosx-3x^2sinx
10
Find 2nd derivative of x/x^2 (the function at number 9)
-2/x^3
2x^(-3)
None of the above
-2x^(-3)
