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Can you differentiate y = (x^4 + x)^10

To solve this equation we will need to apply the chain rule. This states that:dy/dx = dy/du * du/dxTo make the question simpler, we shall let u = x 4 + x, and so:y = u 10 and u = x 4 + xBoth of these equatio...
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Answered by Shaan A. • Maths tutor
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Solve 2x^2-14x+12=0

Firstly, we can divide through by 2 to get a simpler form of the equation: x^2-7x+6=0. To solve this quadratic equation we need to factorise it. We do this by splitting it up into two brackets which would mu...
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Answered by Ferdous A. • Maths tutor
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Solve the following quadratic inequality: 6x^2 -x -35 < 0

Begin by factorisation: (3x+7)(2x-5) &lt; 0 Then determine which values of x give 0 -7/3 and 5/2Draw a sketch of the graph Y intercept = -35Then determine where less than 0 - under x axis. Reach -7/3&lt;x&lt...
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Answered by Luke Y. • Maths tutor
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Three forces of magnitude 50N, PN, QN all act in a horizontal plane in equilibrium. The diagram shows the forces. DIAGRAM: QN = EAST, 50 = SOUTH, PN = 120 DEGREES ANTICLOCKWISE FROM QN a) Find P. b) Find Q.

a) Resolving vertically: Pcos(120-90)=50. Find P from this equation.b) Resolving horizontally: Psin(120-90)=Q. Find Q from this solution.
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Answered by Chloe J. • Maths tutor
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Integrate x^2 + 1/ x^3 +3x +2 using limits of 1 and 0

By noticing the the numerator (x^2 + 1) is similar to the derivative of the denominator (x^3 +3x +2) you can integrate the function by using natural logarithms, to form the logarithm ln( x^3 +3x +2). However...
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Answered by Aaron T. • Maths tutor
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