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Maths
A Level

Given that y=sin2x(3x-1)^4, find dy/dx

This is an example of the product rule. In this, y=uv and dy/dx = u(dv/dx) + v(du/dx) u = sin2x so du/dx = 2 * cos2x = 2cos2x v = (3x-1)4

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Answered by Chisom U. Maths tutor
3950 Views

Determine the integral: ∫x^(3/4)dx

I = (4/7)X^(7/4) +C

RM
Answered by Rifat M. Maths tutor
7489 Views

How do I express complicated logs as single logarithms?

The process of transforming a complicated log to a single logarithm depends on the question. However, there are some basic rules and methods that are commonly involved.

Here is an example:

<...

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Answered by Keeley L. Maths tutor
10376 Views

How can you remember what sin(x) and cos(x) differentiate or integrate to?

Calculus processes concering sin(x) and cos(x) can be imagined like turning a wheel (insert diagram here, would show in tutorial). Turning the wheel clockwise is the process of differentiating, turning th...

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Answered by Sam T. Maths tutor
4065 Views

The polynomial p(x) is, p(x)= x3-5x2-8x+48.Use the Factor Theorem to show that (x + 3)is a factor of p(X)

First of all it is using the factor theorem. 

so need to use that to show it is a factor 

We do this by P of (-3) should = 0 

So substitute x with -3 

 p(-3)= (-3)3 - 5 (-3)2- ...

MB
5113 Views

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