Miscellaneous / Calculus Ladder

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Can you name the Calculus Ladder?

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QuestionAnswer
derivative of 3x^3 + 2x^2 + 5x + 10
How many extremities in Ans 1
e^pi*i + Ans 2 =
integral of sin(3x) from Ans 3 to pi
third term of (Ans 4)^n (n=0)
equation of tangent to 3x^3/4 at Ans 5
limit of Ans 6 as x -> 5.422
derivative of Ans 7 * arctan x
reciprocal of Ans 8
dy/dx of Ans 9

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