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15 Cards in this Set
- Front
- Back
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second derivative |
f">0, f' increasing, f concave up
f"<0, f' decreasing, f concave down |
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d/dx(e^x)
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e^x
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d/dx(a^x)
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(ln a)a^x
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Product Rule
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(fg)' = f'g + fg'
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Quotient Rule
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(f/g)' = f'g –fg'/g^2
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Chain Rule
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d/dx(f(g(x)) = f'(g(x))*g'(x)
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d/dx(sin x)
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cos x
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d/dx(cos x)
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–sin x
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d/dx(tan x)
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1/cos^2 x
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d/dx(ln x)
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1/x
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d/dx(a^x)
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(ln a)a^x
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d/dx(arctan x)
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1/1 + x^2
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d/dx(arcsin x)
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1/sqrt(1– x^2)
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implicit functions
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if there is a y use y'
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tangent line approximation
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f(x) = f(a) + f'(a)(x–a) |
