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Maths
A Level

Find the value of dy/dx at the point where x = 2 on the curve with equation y = x^ 2 √(5x – 1).

Here we must use the product rule to differeniate because x appears in both terms of the equation, therefore both parts must be differentiated. So we will set u= xand v= (5x-1)^(1/2) written ...

LT
Answered by Lucy T. Maths tutor
12803 Views

How do I find the derivative of two functions multiplied by each other?

To find the derivative of two functions multiplied by each other we would use the product rule.

The product rule: (fg)'(x) = f '(x).g(x) + f(x).g'(x)

First we need to split our function into...

ES
Answered by Eleanor S. Maths tutor
4404 Views

Differentiate y = x(x+3)^4

 To differentiate this function we use the product rule. In the product rule we, leave the first alone, differentiate the second, and leave the second alone, differentiate the first.                      ...

HH
Answered by Harry H. Maths tutor
4011 Views

Integrate 1/((1-x^2)^(1/2)) by substitution

arcsin(x) + c

TD
Answered by Tutor94163 D. Maths tutor
3577 Views

y' = (2x)/(y+1). Solve for y.

y' = dy/dx = (2x)/(y+1) Separate x's and y's in this case.

y + 1 dy = 2x dx Now integrate both sides.

(y2)/2 + y = (2x2)/ 2 + C  Don't forget the constant. 

(y

DM
Answered by Daniel M. Maths tutor
4535 Views

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