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Find the derivative of the following function with respect to x. y = 5e^x−2xsin(x)

So, what I would be looking for from students who are answering this questions are the application of differentiation techniques that they would have been taught at Year 12. The first step in answering th...

Answered by Niall H. • Maths tutor

4563 Views

Given y = 9x + 1/x, find the values of x such that dy/dx=0

We are given y as a function of x, let's first compute dy/dx, and then solve the equation dy/dx =0. dy/dx = 9 -1/x². Then dy/dx = 0 is equivalent to 9 = 1/x². Taking x² on...

Answered by Martin P. • Maths tutor

4444 Views

Describe the process of DNA replication?

The DNA replication is a process in which double stranded DNA molecule is divided into two daughter copies during cell division (mitosis). The replication of DNA takes in stages by semi conservative metho...

Answered by Mohammad H. • Biology tutor

2534 Views

Given f(x) = (x^4 - 1) / (x^4 + 1), use the quotient rule to show that f'(x) = nx^3 / (x^4 + 1)^2 where n is an integer to be determined.

QUOTIENT RULE: [u(x) / v(x)]' = [u'(x)v(x) - u(x)v'(x)] / v²We have: u(x) = x⁴ - 1, hence u'(x) = 4x³v(x) = x⁴ + 1, hence v'(x) = 4x³So we have: [(4x...

Answered by Thomas A. • Maths tutor

3143 Views

Outline the structures and processes involved in synaptic transmission (6 marks)

Unlike within a neuron where signals are transmitted electrically , between two different neuron's signals are transmitted chemically, as the impulse travels across a synapse. Synaptic transmission involv...

Answered by Lydia F. • Psychology tutor

35795 Views