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Common Derivatives

Fill out the answers to the derivatives.
Exponents for Trig Identities are placed before the argument eg. sin^3(x)
sqr = √
Quiz by JRBerger
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Last updated: March 28, 2021
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First submittedMarch 28, 2021
Times taken98
Average score53.3%
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Derivative
Answer
[x]'
1
[sin(x)]'
cos(x)
[cos(x)]'
-sin(x)
[tan(x)]'
sec^2(x)
[sec(x)]'
sec(x)tan(x)
[csc(x)]'
-csc(x)cot(x)
[cot(x)]'
-csc^2(x)
[sin^-1(x)]'
1/sqr(1-x^2), D:(-1,1)
Derivative
Answer
[cos^-1(x)]'
-1/sqr(1-x^2), D:(-1,1)
[tan^-1(x)]'
1/(1+x^2)
[a^x]'
a^xln(a)
[e^x]'
e^x
[ln(x)]'
1/x, x>0
[ln|x|]'
1/x, x≠0
[loga(x)]'
1/(xln(a)), x>0
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