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Given that y=(4x+1)^3*sin(2x) , find dy/dx
y=(4x+1)^3sin(2x) - this is a product of two functions of x. It can be rewritten as y = u(x)v(x) ; where u(x) = (4x+1)^3 and v(x) = sin(2x) Using the product rule: dy/dx = u'(x)v(x) + v'(x)
A bag contains red discs, white discs and blue discs. 1/6 of the discs are red, 1/4 of the discs are blue. What is the smallest possible number of white discs?
We are given the fractions representing the number of discs in the bag. When comparing fractions, we should first find a common denomenator for them. The smallest common denomenator for 6 and 4 is 12 (4
