Top answers

A curve C has equation 2^x + y^2 = 2xy. How do I find dy/dx for the curve C?

This question requires an understanding of implicit differentiation, a specific form of the chain rule for derivatives. (Aside/reminder) - Implicit function vs Explicit function: Explicit functions : y may b...
JC
Answered by Jesse C. • Maths tutor
13557 Views

A curve has equation y=2x^3. Find dy/dx.

We differentiate here to find the gradient, dy/dx, i.e. the differenitial of y in terms of x. As the right handside is purely dependant on x, this is simple. We can just multiply through by the power, i.e. 2...
CT
Answered by Claire T. • Maths tutor
5442 Views

How does the body respond following a meal to ensure a relatively constant blood sugar level?

After a meal blood sugar levels will rise. In the Islets of Langerhans beta cells detect hyperglycaemia and secrete insulin, while alpha cells stop releasing glucagon. The insulin moves in the blood stream t...
CJ
Answered by Cameron J. • Biology tutor
3397 Views

How do I find the stationary points of a curve?

For a curve where y = f(x) the gradient of the curve is the derivative of this equation dy/dx. Stationary points of a curve occur when the gradient of the curve is zero. Hence find the expression for dy/dx a...
AM
Answered by Anna M. • Maths tutor
4361 Views

Outline criticisms surrounding the current law on murder.

One criticism with the law on murder is the wide mens rea element. The mens rea for murder is with malice aforethought express or implied, meaning someone with the direct intention to kill (Mohan) will be li...
BD
Answered by Bryony D. • Law tutor
14390 Views