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Start by finding the first derivative of the function - by differentiating f(x) with respect to x. Then substitute the x-coordinate, in this case 2, into the first derivative and it will equal zero if (2,...

Differentiation is something you can do to a function, to tell you about the gradient of the function. For your simple linear, quadratic, cubic, etc. equations, the process is the same every single time. ...

So in this question, there are 4 main people in this question; those who own ONLY a phone, ONLY a tablet, both a phone or a tablet or NONE. How do you think we could represent this information? Prompt stu...

Let u = 3x⁴ + x
du/dx = 12x³ + 1
y = u⁵
dy/du = 5u^4<...

This question is asking us to find the first order derivative of f(x) with respect to x, then the second order derivative when x=1/2i) Firstly, let's consider (d/dx)4/x:There are two ways to think about d...