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Differentiate y = x*cos(2x)

cos(2x) - 2x*sin(2x)
PM
3339 Views

The line y = 3x-4 intersects the curve y = x^2 - a, where a is an unknown constant number. Find all possible values of a.

For the line and the curve to intersect we need the for the following system of equations to have a solution. y = 3x AND y = x 2 - a The solution of the system of equations is found by solving x^2 - 3x - a =...
HK
4321 Views

f(x) = 2x^3+6x^2-18x+1. For which values of x is f(x) an increasing function?

For f(x) to be an increasing function at x, the derivative of f(x) must be greater than 0. So, the answer to this question will be revealed by solving the equation f'(x) > 0 for x.By differentiating the t...
NW
5063 Views

Let y = (4x^2 + 3)^4. Find dy/dx.

32x(4x^2 + 3)^3
ZA
2995 Views

Use differentiation to show the function f(x)=2x^3–12x^2+25x–11 is an increasing function for all values of x

Firstly, I would remember what differentiation shows - which is the rate of change of a function. I would think about how I could use this to show it's always increasing. Now the first derivative would show ...
8997 Views