is my answer true?
e^3x + 1/1+4(x^2)
derivative of x * e^3x + tan^-1 2x?
2014-12-11 4:36 pm
回答 (1)
2014-12-11 4:42 pm
Making assumptions about where parentheses should be,
d/dx(x e^(3x) + tan^-1(2x)) =
1*e^(3x) + x*(3e^(3x)) + 1/(1 + 4x^2) * d/dx(2x) =
e^(3x) + 3xe^(3x) + 2/(1 + 4x^2)
Use the product rule for xe^(3x) and the chain rule for tan^-1(2x).
d/dx(x e^(3x) + tan^-1(2x)) =
1*e^(3x) + x*(3e^(3x)) + 1/(1 + 4x^2) * d/dx(2x) =
e^(3x) + 3xe^(3x) + 2/(1 + 4x^2)
Use the product rule for xe^(3x) and the chain rule for tan^-1(2x).
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