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given y = x^2 - 7x + 5, find dy/dx from first principles

using the delta method for first principles derivation:
Define the differential: dy/dx = limit as h -> 0 f(x+h) - f(x)/h where f(x) = ysubstitute the equation into the differential: dy/dx = (x+h)...

Answered by Dafydd B. • Maths tutor

8037 Views

All tickets for a concert are the same price. Amy and Dan pay £63 for some tickets. Amy pays £24.50 for 7 tickets. How many tickets does Dan buy?

We start to work with this question by underlining the most important information it provides us:All tickets for a concert are the same price.Amy and Dan pay £63 for some ti...

Answered by Soma F. • Maths tutor

1564 Views

15 machines work at the same rate. Together, the 15 machines can complete an order in 8 hours. 3 of the machines break down after working for 6 hours. The other machines carry on working until the order is complete. In total, how many hours does EACH

The total number of 'machine hours' needed to complete an order is (15x8) = 120 hoursThe total number of hours worked by the broken machines = (6x3) = 18 hoursTherefore the total number of machine hours n...

Answered by Ethan R. • Maths tutor

5523 Views

f is a function such that f(x)=2/(3x-3) Find the inverse function and ff^-1

As demonstrated on whiteboard

Answered by Kieran M. • Maths tutor

3561 Views

Express 4x/(x^2-9) - 2/(x+3) as a single fraction in its simplest form.

Please refer to the link below as I found it very difficult to demonstrate the answer and couldn't seem to access the whiteboard function.file:///C:/Users/exr854/OneDrive%20-%20University%20of%20Birmingha...

Answered by Ethan R. • Maths tutor

3212 Views