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y = x^3 ln x. Find dy/dx

dy/dx = u.dv/dx + v.du/dxu = x3, v = ln xdu/dx = 3x2, dv/dx = 1/xdy/dx = 3x2 lnx + x2

TU
Answered by Tarun U. Maths tutor
13588 Views

Expand the following : (2x+3)(x-1)

We multiply the 2x in the first bracket by everything in the second bracket to give: 2x2-2xWe then multiply the 3 in the first bracket by everything in the second bracket to give: 3x-3Putting 2...

SS
Answered by Samuel S. Maths tutor
3004 Views

How to complete the square to solve quadratic equations?

Equation: x2 +4x-5=0 (This is in the form ax2+2bx+c=0)First divide 2b by 2 (4/2=2)Then put this into (x+b)2-(b)2+c=0This gives: (x+2)2-(2)2

GJ
Answered by George J. Maths tutor
2620 Views

Write 16× 8^2x as a power of 2 in terms of x.

16 = 2482x = (23)2x = 26xTherefore, 16x82x = 24x 26x = 24+6x

XY
Answered by Xixi Y. Maths tutor
7558 Views

A curve has equation y = 20x −x^2 −2x^3 . The curve has a stationary point at the point M where x = −2. Find the x-coordinate of the other stationary point of the curve.

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