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Differentiate with respect to x: y = xln[2x]

This is an example of a question where we would have to use the product rule for differentiation, because we have two functions multiplied together ( x and ln(2x) ).If we have: y = uv, where u and v are f...

MA
5607 Views

Find the area of a kite with length 12cm and height 6cm.

The area of a kite is the (product of diagonal lengths)/2.A = (12 * 6)/2A = 36cm^2

TO
Answered by Theresa O. Maths tutor
3337 Views

Solve 8x + 9y = 3 and x + y = 0.

We have 8x + 9y = 3 [1] and x + y = 0 [2].We can make x or y the subject. Take y as subject we have y = -x [3].We substitute [3] into [1] and get 8x - 9x = 3 --> -x = 3 --> x = -3.Substituting x = -...

TO
Answered by Theresa O. Maths tutor
7327 Views

Given that Y=(x+3)(x+5); find dy/dx

Y=(x+5)(x+3) ............(1)The above expression on the right is a product of two expressions,Hence, product rule differentiation method will be employed as stated below:Y(u,v)=U(x).V(x) .........(2)dy/dx...

DE
Answered by Dr Edosa O. Maths tutor
3268 Views

What is Pythagoras' theorem and what can it be used to figure out?

Pythagoras' theorem states that in any right-angled triangle the square of the longest side (called the HYPOTENUSE) is equal to the sum of the squares of the other two shorter sides.If th...

AF
Answered by Alice F. Maths tutor
3868 Views

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