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Given that y = sin(2x)(4x+1)^3, find dy/dx

The product rule states that (uv)' = u'v + uv' Therefore we know that to find dy/dx we must have (sin(2x))'(4x+1)^3 +sin(2x)((4x+1)^3)' We can differentiate sin(2x) to 2cos(2x) and using the chain rule we...

MM
Answered by Myles M. Maths tutor
4485 Views

When do we use the quadratic formula, and when the completing the square method?

First, you have to understand that both are essentially the same; the formula is based on the completing the square method. ax^2+b^x+c=0 can with appropriate steps be transformed to x = (-b +- root(b^2-4a...

IP
Answered by Ioannis P. Maths tutor
4267 Views

How are endings formed for past participles?

If the participle is linked to the verb "être" or used as an adjective, its ending is associated with the gender of the subject (add an "e" for female), and the number of subjects (&qu...

ML
Answered by Mathieu L. French tutor
2517 Views

How does the heart pump blood around the body?

The easiest way to think of the human heart is as 2 separate pumps in one loop. The first pump is the right side of the heart, which receives deoxygenated blood from the systemic circulation (the body). T...

AS
Answered by Alice S. Biology tutor
9643 Views

Write down the values of (1) loga(a) and (2) loga(a^3) [(1) log base a, of a (2) log base a of (a^3)]

Let's first go to the whiteboard where I will explain what a logarithm is. The equation, loga(b) = x, could be re-written into the form, a^x = b. This is true for all logarithmic equations. There is a rul...

SH
Answered by Sohail H. Maths tutor
13930 Views

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