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How do you differentiate using the chain rule?

At first the chain rule can seem quite daunting and convoluted but with a few examples over the course of this lesson, it will seem simpler and more intuitive. The chain rule is used where the equation that ...
AK
Answered by Alex K. • Maths tutor
3461 Views

When working with probabilities why is it sometimes necessary to add and sometimes to multiply?

Whether you need to add or multiply depends on whether it is a case of 'AND' or 'OR'. For 'AND' you multiply, and for 'OR' you add. Below are examples of each case, using dice as an example: To calculate the...
MW
Answered by Marcus W. • Maths tutor
3398 Views

Solve the simultaneous equations: y=x^2 + 3x + 7 and y=x + 10

x= -3 and 1y= 7 and 11
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Answered by Usmaan S. • Maths tutor
3767 Views

Differentiate the following equation: f(x) = 5x^3 + 6x^2 - 12x + 4

Answer: f'(x) = 15x^2 + 12x -12 This is according to basic rules of differentiation and is a beginner level differentiation question as following:If f(x) = ax^nThen f'(x) = x(nx^n-1)
HK
Answered by Holly K. • Maths tutor
3403 Views

Differentiate 5x^3 + 4x^2 + 5x + 9

Differentiate 5x 3 + 4x 2 + 5x + 9The rules from polynomial differentiation: d(ax n ) / dx= a(nx n-1 ) and df/dx + dg/dx = d (f+g) /dx and dn/dx = 0Using these rules in conjunction we get : 5(3x 3-1 ) + 4(2x...
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Answered by Annabelle S. • Maths tutor
4076 Views