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Differentiate: y = 3x^2 + 4x + 1 -4x^-1

dy/dx = 6x +4 +4x -2
HF
Answered by Harry F. • Maths tutor
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How would I write (1+4(root)7)/(5+2(root)7) in the form m + n(root)7, where m and n are integers?

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 format...
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Answered by Alexander D. • Maths tutor
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Solve the following pair of simultaneous equations: 2x - y = 7 and 4x + y = 23

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 to ...
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Answered by Lauren R. • Maths tutor
5993 Views

Differentiate cos(2x^3)/3x

Using quotient rule y = u/v - dy/dx = (v.du/dx - u.dv/dx)/v 2 .u = cos(2x 3 ) , a = 2x 3 . du/da = -sin(a), da/dx = 6x 2 . From chain rule, we know that du/dx = du/da . da/dx, so du/dx = -6x 2 sin(2x 3 ). We...
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Answered by Charlie W. • Maths tutor
10042 Views

Differentiate x^2 ln(3x) with respect to x

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 same,...
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Answered by Ricky F. • Maths tutor
15045 Views