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Find the stationary points on y = x^3 + 3x^2 + 4 and identify whether these are maximum or minimum points.

First, you will need to differentiate the function with respect to x. Finding dy/dx.For polynomials, this is done by taking one away from the old power and multiplying the coefficient by the old power and re...
LH
Answered by Laurence H. • Maths tutor
9547 Views

Outline and explain the structure of the personality [6 marks]

The ID operates in the unconscious and is responsible for instant gratification. It contains the libido, which forms our sexual desires. The super-ego is known as the 'morality principle' and punishes the eg...
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Answered by Luka B. • Psychology tutor
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'I don't study biology at a-level so I feel like I can't do it, especially because most of the people in my class do and I can't keep up'

Biopsychology and Neurology are actually a lot easier than they initially sound. I do not think it is necessary to study biology. It might help, but it certainly does not need to hold you back. It's understa...
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Answered by Nicole P. • Psychology tutor
2271 Views

Let f(x)=x^x for x>0, then find f'(x) for all x>0.

A common misconception from many students when tackling this problem is that they think the usual 'power rule' works. However, in this case the power is itself a function of x and not just a constant, so thi...
MF
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Integrate the function f(x)=3^x+2 with respect to x

First note that a=e ln(a) and ln(a b )=b ln(a)By substituting a=3 x we get a=3 x =e ln(3^x) =e x ln(3) , and hence f(x)=e x ln(3) +2∫ f(x)dx=∫ e x ln(3) +2 dx . First we can split this into the sum of two in...
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Answered by Christian C. • Maths tutor
3599 Views