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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= x 2 and v= (5x-1)^(1/2) written like this mak...
LT
Answered by Lucy T. • Maths tutor
13283 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 the two parts th...
ES
Answered by Eleanor S. • Maths tutor
4963 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. Say y = U * V (U and V ar...
HH
Answered by Harry H. • Maths tutor
4299 Views

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

arcsin(x) + c
TD
Answered by Tutor94163 D. • Maths tutor
3876 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. (y 2 )/2 + y = (2x 2 )/ 2 + C Don't forget the constant. (y 2 )/2 + y = x 2 + C
DM
Answered by Daniel M. • Maths tutor
4869 Views