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Differentiate with respect to x: w=4x^2 + 3sin(2x)

We will split this up and differentiate each part separately. We can differentiate 4x 2 using our normal rules for differentiating; we multiply the coefficient by the power and then subtract one from the pow...
EM
Answered by Emma M. • Maths tutor
7316 Views

Given that y=(4x+1)^3*sin(2x) , find dy/dx

y=(4x+1)^3 sin(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) u(x) where the...
CD
Answered by Chris D. • Maths tutor
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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 3=12...
GC
Answered by Grimonia C. • Maths tutor
6772 Views

Solve for x and y, with x and y satisfying the equations 3x+2y=36and 5x+4y=64

x=8 y=6
LS
Answered by Lucy S. • Maths tutor
4086 Views

There are 20 sweets in a bag, 5 are white and 15 are black. What is the probability that a sweet chosen at random will be white?

5 out of the 20 sweets in the bag are white. This could be written as 5/20. This is the probability. However, this can be simplified to 1/4 'one quarter' or 0.25.
TD
Answered by Toby D. • Maths tutor
4586 Views