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Find the derivative of A^4 + 2A^2 - 3A + 4

Ask if they have found derivations before.If not:When we differentiate a polynomial like this by using the fact that:The derivative of A^x is xA^(x-1).So, we multiply the unknown variable, A, by the power an...
JM
Answered by Jake M. • Maths tutor
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What is the probability to obtain exactly 2 heads out of 3 tosses of a fair coin?

We will figure out the general question first: if we have n consecutive events with two possible outcomes which we will tell "successes" and "failures" with probabilities p and 1-p, respe...
SG
Answered by Stamo G. • Maths tutor
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y=20x-x^2-2x^3. Curve has a stationary point at the point M where x=-2. Find the x coordinate of the other stationary point of the curve and the value of the second derivative of both of these point, hence determining their nature.

Differentiate to get dy/dx=20-2x-6x^2Then stationary points occur when dy/dx = 0 so 0 = 20-2x-6x^2 Factorise to get x= -2, x=5/3Differentiate dy/dx to get second derivative = -2-12x at x=5/3 is -22 so max po...
EJ
Answered by Emily J. • Maths tutor
4467 Views

How would you find the coordinates of the intersections of a graph with the x and y axes, and the coordinates of any turning points?

Take the graph y = x 2 - 2x + 5 for example: In order to find the intersection with the y axis, set the x values in the equation equal to 0 as this is where the graph would cross the y axis:y = (0) 2 - 2(0) ...
SY
Answered by Simeon Y. • Maths tutor
17432 Views

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

dy/dx = u.dv/dx + v.du/dxu = x 3 , v = ln xdu/dx = 3x 2 , dv/dx = 1/xdy/dx = 3x 2 lnx + x 2
TU
Answered by Tarun U. • Maths tutor
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