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Integrate ln(x).

When tackling an unobvious integral question, first run through all the possible methods. I will now list the methods of integration: Substitution: could use this method, but it wouldn’t be particularly help...
MC
Answered by Melanie C. • Maths tutor
4857 Views

How do I simplify a fraction with surds on the bottom when the surd is part of a function?

When doing questions like this you simply times the top and bottom of the fraction by the bottom function but with a sign change. For example if "5 - √ 3" was the denominator of the fraction (on th...
CW
Answered by Charlotte W. • Maths tutor
8331 Views

Find the derivative with respect to x and the x-coordinate of the stationary point of: y=(4x^2+1)^5

y=(4x^2+1)^5 y=u^5 u=4x^2+1 y’=5u^4 (wrt u) u’=8x y’=40x(4x^2+1)^4 y’=40x(4x^2+1)^4=0 x=0 (x^2+1>0)
EB
Answered by Ellie B. • Maths tutor
4535 Views

Differentiate x^2 + xy + y^2 =1 implicitly.

Each part can be done separately, so x^2 becomes 2x, xy becomes dy/dx + y by product rule, y^2 becomes 2y(dy/dx) by chain rule, and 1 becomes 0. Hence the answer is 2x + y + (2y+1)dy/dx = 0, but the answer i...
TD
Answered by Tutor80806 D. • Maths tutor
6238 Views

6y+2x^2=6 x=(y+1)^0.5 solve the simultaneous equations

x^2=y+1 therefore 6y+2y+2=6 therefore 8y=4 y=0.5 sub in to either equation x=(3/2)^0.5
TF
Answered by Thomas F. • Maths tutor
3379 Views