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Outline the various ways that you can differentiate a function

The ways to differentiate a function depend on the function itself. If there is only one x value in the function you can differentiate as normal (hard to explain on a computer), yet if the function contains ...
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Answered by Barnaby N. • Maths tutor
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Work out the value of 125^(-2/3)

Step 1: Write 125 as an exponent. Is there any number you can multiply by itself a few times to give you 125? The answer is 5 because 5 x 5 x 5= 5 x 25 = 125. Step 2: Since we know that 125=5^3, we can repla...
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Answered by Araba S. • Maths tutor
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Rearrange y = (3x+5)/x to make x the subject

Step 1: Multiply both sides by x to obtain xy = 3x + 5. Step 2: Place all the 'x' terms on the same side of the equation to obtain xy-3x=5 Step 3: Factor out x from the left side of the equation: x (y-3) = 5...
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Answered by Araba S. • Maths tutor
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Solve the simultaneous equations 2x - 3y = 24 (1) ; 6x + 2y = -5 (2)

The objective of this question is to solve for x and y. Since we cannot directly eliminate x or y, find the lowest common multiple for x in both equations by comparing 2x in equation 1 with 6x in equation 2....
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Answered by Araba S. • Maths tutor
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Find f''(x), Given that f(x)=5x^3 - 6x^(4/3) + 2x - 3

In order to get from f(x) to f''(x) we need to differentiate the function f(x) with respect to x and then differentiate the resulting function with respect to x again. When differentiating f(x), split the eq...
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Answered by Alexey B. • Maths tutor
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