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Differentiate the function y=(6x-1)^7

Problems of this style are solved using the chain rule. To begin, define the quantity inside the brackets as u u = 6x-1 such that y = u^7 It is now useful to write the chain rule. We can see dy/dx = du/dx x ...
JL
Answered by Jamie L. • Maths tutor
5188 Views

Which A-level modules did you take?

C1, C2, C3, C4 M1, M2, M3 S1, S2, S3 FP1, FP2
MW
Answered by Michael W. • Maths tutor
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Show that 2sin(2x)-3cos(2x)-3sin(x)+3=sin(x)(4cos(x)+6sin(x)-3)

When proving trigonometric identites, we must show that the left hand side of the equation = the right hand side. Here we will start with the left hand side (LHS) and show that it is equivalent to the right ...
JB
Answered by Joe B. • Maths tutor
16593 Views

How to differentiate 2x^5-4x^3+x^2 with respect to x

Rule of differentiating is to times down by the power and then reduce it by one. Firstly we will handle the 2x ​5 ​: (2*5)x 5-1 =10x ​4 If we do this with the rest of the terms we get: 10x 4 -12x ​2 +2x
JP
Answered by Jodie P. • Maths tutor
3687 Views

How to differentiate x^2 + y^2 - 2x + 6y = 5

This is an implicit function, meaning the x and y terms are not able to be seperated onto different sides, i.e. y=f(x). Therefore, we must use implicit differentiation . Before we differentiate the equation ...
AS
Answered by Anneke S. • Maths tutor
14271 Views