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Differentiate 5x^3 + 4x^2 + 5x + 9

Differentiate 5x³ + 4x² + 5x + 9The rules from polynomial differentiation: d(axⁿ) / dx= a(nx^n-1) and df/dx + dg/dx = d (f+g) /dx and dn/dx = 0Using these rules...

Answered by Annabelle S. • Maths tutor

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A curve has equation 3x^4/3-16y^3/4=32. By differentiating implicitly find dy/dx in terms of x and y. Hence find the gradient of the curve at the point (8,1).

3x^4/3-16y^3/4=32Differentiating implicitly:4x^1/3-12y^-1/4(dy/dx)=0Simplifying and rearranging:x^1/3=3y^-1/4(dy/dx)dy/dx=1/3(x^1/3y

Answered by Ben G. • Maths tutor

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How have the Big Six energy companies benefited from vertical and horizontal integration?

Vertical integration refers to the combination, within a single firm, or two or more stages of production, where each stage was previously undertaken by separate firms. For example, a vertically integrate...

Answered by Joshua D. • Economics tutor

6709 Views

What is the link between electrical activity of the heart and its contraction?

The electrical current is produced in the SA node (the primary pacemaker of the heart) and travels to the AV node via fibres in the walls of the atria. These impulses cause the muscular walls of the atria...

Answered by Stephen M. • Biology tutor

6710 Views

Can you explain the oxygen dissociation curve.

What is the graph telling us?
On the graph, we can see two axes. We have partial pressure of oxygen on the X axis and Hb saturation on the Y axis. Partial pressure is another way of saying how much o...

Answered by Thomas K. • Biology tutor

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