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d/dx ( sin x) ^3

3(sin x) ^2 cos x
OG
Answered by Oscar G. • Maths tutor
3576 Views

differentiate y = 4x^3(12e^-4x) with respect to x

y = 4x 3 e -4x u = 4x 3 v = e -4x du/dx = 12x 2 dv/dx = -4e -4x using the product rule; vdu +udv vdu + udv = 12x 2 e -4x - 16x 3 e -4x
LM
Answered by Lewis M. • Maths tutor
3959 Views

What is the 'Nth-term rule' in linear (arithmetic) sequences and how is it used?

In any sequence, the position of a term (1st, 2nd, 3rd etc.) is represented by the letter ‘n’. In linear sequences only, the ‘nth-term rule’ gives the value of any term in that sequence at position ‘n’. It i...
EI
Answered by Edmund I. • Maths tutor
47943 Views

Expand and simplify 3(m + 4) – 2(4m + 1)

The first thing that we are going to do to tackle this problem is to expand the bracket on the left-hand side (3(m+4)). To do this you have to multiply each of the terms inside the bracket with the 3 that is...
RR
Answered by Rahee R. • Maths tutor
4891 Views

1) 3x + y = 11 2) 2x + y = 8

Subtract 2) from 1), we get x = 3. This means that y must be 2.
DB
Answered by Dewi B. • Maths tutor
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