Differentiation & Integration Rules
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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What is the integral of 1/x dx? | show 🗑
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show | e^x + C
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show | (x^6)/6 + C
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What is the derivative of ln(x)? | show 🗑
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show | 5x^4
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show | 1/(xln10)
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show | 15(3x + 7)^4
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show | ln(x) + 1
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show | -5/x^2
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What is the derivative of (x^2 + 5)/x? | show 🗑
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show | (-x^2 - 1)/(x^2 - 1)^2
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show | cos(x)
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What is the derivative of cos(x)? | show 🗑
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show | 2x + C
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What is the integral of (x + 1)/x dx? | show 🗑
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show | x + 1 - ln|x + 1| + C
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show | -cosx + C
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show | sinx + C
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What is the integral of (3x + 2)^7 dx? | show 🗑
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What is the integral of 7^x dx? | show 🗑
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How can the rate of change be found? | show 🗑
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How can the area under a curve be found? | show 🗑
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show | (x^5)/5 + (4x^3)/3 + C
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show | 72x(9x^2 + 1)^3
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How can the average value of f(x) = x^3 - 4 between x = 2 and x = 5 be found? | show 🗑
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Solve ln(2 + x) = 5 for x. | show 🗑
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Solve log(3x - 1) = 7 for x. | show 🗑
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What is the inverse of y = 2x - 3? | show 🗑
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show | Vertical line test
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What test is used to determine if a function has an inverse? | show 🗑
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What is the domain of lnx? | show 🗑
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show | All real numbers
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show | 5
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Solve 5lnx = 2 | show 🗑
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What is ln1? | show 🗑
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show | 0
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show | Natural logarithms! (The derivative of lnu = u'/u)
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show | log(a*b^2)
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show | 3
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show | 24
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Created by:
mbarnard
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