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Using the product rule, differentiate: y = (x^2 - 1)(x^3 + 3).

y=(x2-1)(x3+3) ...

Answered by Maths tutor
3196 Views

Describe the causes of the First World War

There were 4 main causes leading to the First World War. Firstly, the immediate cause of the war was the assassination of Archduke Franz Ferdinand in 1914 by the Black Hand organisation of Serbian nationa...

AS
Answered by Aiden S. History tutor
2726 Views

Translate the following: If it hadn't rained, she would have gone to the park.

S'il n'avait pas plu, elle serait allée au parc.
Just as in the English example, this 'Si' clause requires the pluperfect tense and the conditional perfect. 'Si' clauses are constructed around two e...

ML
Answered by Milly L. French tutor
1826 Views

integral of (tan(x))dx using the substitution u = cos(x)

given u = cos(x), therefore du/dx=-sin(x), as tan(x)=sin(x)/cos(x), can rewrite tan(x)=(-du/dx)/u, therefore integral can become [(-1/u)du], after inegrating you are left with -ln(u)+c, therefore ln(1/u)+...

FR
Answered by Frederick R. Maths tutor
4058 Views

f(x) = x^x, find f'(3).

Therefore, y = xxcan then natural log both sides leaving ln(y) = xln(x) then differentiating both sides wrst to x d/dx(ln(y)=xln(x))we are then left with this expression (dy/dx)(1/y)=ln(x)+1 mu...

FR
Answered by Frederick R. Maths tutor
2411 Views

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