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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...

JM
Answered by Jake M. Maths tutor
3406 Views

Using a Suitable substitution or otherwise, find the differential of y= arctan(sinxcosx), in terms of y and x.

First of all, replace sinxcosx with 1/2 sin2x. Then you should let U=1/2 Sin2x and replace that in the formula. If y=arctan(U), then U=tany. work out dU/dy which is Sec2y. Using the trigonometr...

JP
2687 Views

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, re...

SG
Answered by Stamo G. Maths tutor
4279 Views

outline 2 factors that influence educational attainment

Material deprivation is one factor that affects the educational attainment as it means that the working class are unable to provide better conditions and resources for their children. Douglas identifies t...

PO
5819 Views

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...

EJ
Answered by Emily J. Maths tutor
4047 Views

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