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How would I use implicit differentiation to differentiate functions such as: y=tan^-1(ax^2+b) in the form of dy/dx=.....?

First you must write the function in terms on something you know how to differentiate, for example... by taking tan (..) of both sides the equation becomes, tan(y)= ax+b. We then use implicit...

CS
Answered by Charles S. Maths tutor
5303 Views

A curve has parametric equations x=2t, y=t^2. Find the Cartesian equation of the curve.

x=2t --> t= x/2 
y=t2 = (x/2)2

So the Cartesian equation is y=x2/4. 

KW
Answered by Katarzyna W. Maths tutor
14384 Views

Solve 3x+7=1.

3x+7 = 1. We can describe this equation as a stroy. First x was multiplied by 3 and then 7 was added to it to get 1. Now we need to reverse the story. 
last thing done was +7, so reversing it gives ...

KW
Answered by Katarzyna W. Maths tutor
24589 Views

What is the difference between a shift and a movement in the demand (or supply) curve?

A shift in the demand curve occurs when there is a non-price determinant of demand, including a change in consumers' income, changing trends and tastes, changes in the price of complementary and substitut...

SD
Answered by Sofia D. Economics tutor
16660 Views

Outline the "Sliding Filament Theory" of muscle contraction.

In the resting state, the myosin heads have a partially hydrolysed ATP molecule (ADP + Pi) giving them potential energy. When there is an influx of calcium ions as a result of sarcolemma depolarisation, t...

SM
Answered by Sohail M. Biology tutor
6685 Views

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