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What is an improper fraction, and how to I make thisproper so that it can be differentiated?

An improper fraction is any fraction where the order of the constant (power of x) is equal or greater in the nuberator than the denominator, take for example; (x 2 -3x-2)/(x 2 -3x+2) This can first be factor...
AS
Answered by Aidan S. • Maths tutor
4312 Views

1. A small stone is dropped from a height of 25 meters above the ground. i) Find the time taken for the stone to reach the ground ii) Find the speed of the stone as it reaches the ground

i) Let’s first write down, as we always should, what we know and what we are searching for. We know height is 25 meters and we are searching for time, so: ℎ = 25 �� �� =? This is a case of free fall of cours...
PM
Answered by Petar M. • Maths tutor
8304 Views

For a curve of equation 2ye^-3x -x = 4, find dy/dx

here the student needs to use both implicit differentiation and the product rule. I would differentiate term by term for this problem. for 2ye^-3x you have to use the proudct rule. uv differentiates to uv' +...
JB
Answered by Jack B. • Maths tutor
4379 Views

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
7391 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
3891 Views