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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 2 +b. We then use implicit differentiat...
CS
Answered by Charles S. • Maths tutor
6213 Views

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

x=2t --> t= x/2 y=t 2 = (x/2) 2 . So the Cartesian equation is y=x 2 /4.
KW
Answered by Katarzyna W. • Maths tutor
15750 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 us -7. 1 -...
KW
Answered by Katarzyna W. • Maths tutor
26663 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 substitute g...
SD
Answered by Sofia D. • Economics tutor
18143 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, the ...
SM
Answered by Sohail M. • Biology tutor
7436 Views