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What is differentiation?

Differentiation is a method used to find the rate of change of a function with respect to a given variable, eg. how f(x) changes with respect to x. There are different ways to find the derivative of a fun...

HT
Answered by Harry T. Maths tutor
3184 Views

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
3243 Views

(given a graph with a straight line and 2 labelled points) Find the equation of the line.

Every straight line can be written in the form y=mx+c.(If they seem completely unfamiliar with concept):M is known as the gradient of the line, which says how steep the line is. The bigge...

JM
Answered by Jake M. Maths tutor
2722 Views

There is a right angled triangle with sides of 5cm, 12cm and 13cm. What is the size of the smallest angle?

By the sine rule, sin-1(5/13)=22.6 degrees.Equally, by the cos-1(12/13)=tan1(5/12)=22.6 degrees.

AO
Answered by Akane O. Maths tutor
7241 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
2501 Views

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