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Find the derivative, dy/dx, of y = 8xcos(3x).

Let u= 8x then du/dx = 8Let v= cos(3x) then dv/dx = -3sin(3x)Therefore using the product rule: dy/dx = (cos(3x))(8) + (8x)(-3sin(3x))So dy/dx = 8cos(3x) - 24xsin(3x) .
JC
Answered by Joshua C. • Maths tutor
3917 Views

3x + x = 12. Find x

Due to the fact that the two 'x' in the question do not have a power (Are not squared or cubed) they can be added. Thus:4x = 12Then we want to find 'x' so we isolate it in the equation. To do this, we need t...
TD
Answered by Tanika D. • Maths tutor
2140 Views

3/4 +5/3 = ?

When either adding or subtracting fractions from one another, the denominators have to be the same. Find the lowest common multiple;3*4 = 12then because you multiplied 3 and 4, you also have to multiply the ...
TD
Answered by Tanika D. • Maths tutor
2819 Views

How do I tell if a curve has a maximum or a minimum?

Firstly we need to find the stationary point on the curve. We know what at a stationary point the gradient is zero so we will find the gradient of the curve. We do this by differentiation, when we have diffe...
CK
Answered by Charlotte K. • Maths tutor
7275 Views

How can I solve simultaneous equations?

There are many options, but substitution is the one we will go through for this example first. Lets say you have 3x+4y = 10 and x+2y = 6In this case substitution would be easiest because you have a singular ...
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Answered by Tanika D. • Maths tutor
3290 Views