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How do I use the chain rule for differentiation?

Let’s say we’re given the equation y=(2x-6)^4we would know how to differentiate x^4, therefore we can take the substitution u=2x-6 to give us the equation y=u^4we then differentiate this equation (dy/du) to ...
NA
Answered by Natasha A. • Maths tutor
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H(x)=(x^3)*(e^x) what is H'(x)

Using the product rule H(X) = f(x)*g(x) and H'(X) = f'(x)*g(x) + f(x)*g'(x) Where, in this case f(x) = x 3 and g(x) = e x We can easily determine the derivative of the above function.f'(x) = 3x 2 and g'(x) =...
AF
Answered by Antonio F. • Maths tutor
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How do I factorise a quadratic equation?

A quadratic equation will always take the form ax 2 + bx + c, where x is a variable and a, b and c are numbers. The equation may be given to you with several x 2 values, several x values or several numbers. ...
KM
Answered by Kate M. • Maths tutor
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C1 June 2014 Q)4 - https://pmt.physicsandmathstutor.com/download/Maths/A-level/C1/Papers-Edexcel/June%202014%20QP%20-%20C1%20Edexcel.pdf

a) At A y=0, therefore if we solve: 0= (1/x)+1 we get x=-1.b)First step when drawing graphs is to find roots. x=0, x=2. Because x=0 acts as two of roots the graph only touches x=0. The graph is a positive cu...
AS
Answered by Arun S. • Maths tutor
9118 Views

Ben would like to buy two tickets for the theatre, each ticket costs £25 and there is a 15% booking fee applied to the ticket cost. How much does it cost him to buy the two tickets with the additional fee?

25 x 2 = 50 15% = 0.15 50 x 1.15 = 57.5 or 0.15 x 50 = 7.5 50 + 7.5 = 57.5
AP
Answered by Alexander P. • Maths tutor
3436 Views