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Let f(x)=x^3-6x+3. i)Differentiate f(x) to find dy/dx. ii) Given that dy/dx = 12, find the value of x.

For part i) we use the basic method of differentiation by considering each term individually. The first term, x³ goes to 3x² by multiplying the original term by the original power, b...

Answered by Samuel H. • Maths tutor

5033 Views

Can you explain the different valves of the heart and why they are important?

The heart consists of 4 chamber; left and right atria, plus left and right ventricles. The right atria recieves deoxygenated blood from the superior and inferior vena cava, delivering blood from the head ...

Answered by Radi D. • Biology tutor

3077 Views

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)= ax²+b. We then use implicit...

Answered by Charles S. • Maths tutor

5809 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.

Answered by Katarzyna W. • Maths tutor

15127 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...

Answered by Sohail M. • Biology tutor

7071 Views