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Differentiate x^x

(x^x)(ln(x)+1)

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Answered by Aadil V. • Maths tutor

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Binomial expansion of (1+4x)^5 up to x^2

How would I differentiate a function such as f(x)=x^3(e^(2x))?

3. The point P lies on the curve with equation y=ln(x/3) The x-coordinate of P is 3. Find an equation of the normal to the curve at the point P in the form y = ax + b, where a and b are constants.

(a) Express (1+4sqrt(7))/(5+2sqrt(7)) in the form a+bsqrt(7), where a and b are integers. (b) Then solve the equation x(9sqrt(5)-2sqrt(45))=sqrt(80).

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