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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 func...
MA
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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
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Answered by Theresa O. • Maths tutor
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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 = -3 i...
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Answered by Theresa O. • Maths tutor
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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=Ud...
DE
Answered by Dr Edosa O. • Maths tutor
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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 the two shortest side...
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Answered by Alice F. • Maths tutor
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