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dy/dx = 6x +4 +4x^-2

We know that any value divided by itself is equal to 1, therefore we can multiply the value in the question by (5-2(root)7)/(5-2(root)7) and the value would not change. We are only changing the values for...

2x - y = 74x + y = 23In this pair of simultaneous equations, we have two unknowns. We can solve them simultaneously using substitution or elimination, but I will go through the elimination method. I wish ...

Using quotient rule y = u/v - dy/dx = (v.du/dx - u.dv/dx)/v².u = cos(2x³) , a = 2x³. du/da = -sin(a), da/dx = 6x². From chain rule, we know that du/dx = du/da ....

This question requires the use of differentiation by product rule. First differentiate the first term, whilst keeping the second term the same, i.e. we get 2xln(3x). Secondly we keep the first term the sa...