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The Curve C has equation y = 3x^4 - 8x^3 -3. Find the first and second derivative w.r.t x and verify that y has a stationary point when x = 2. Determine the nature of this stationary point, giving a reason for your answer.

The first derivative is otherwise denoted by dy/dx.dy/dx = 12x^3 -24x^2.The second derivative is denoted by d²y/dx², otherwise known as the first derivative of the function dy/dx.d

Answered by Jemisha B. • Maths tutor

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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

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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

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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

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