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I can differentiate exponentials (e^x), but how can I differentiate ln(x)?

[Differentiate y = ln(x)] This is an example of many situations in maths where you need to solve something that is similar to what you can solve, but not in its current form. A good idea, then, i...

AL
Answered by Adam L. Maths tutor
3273 Views

Express f(x) = x^2 + 5x + 9 in the form (x + a)^2 + b, stating the values of a and b.

The question asks you to complete the square on the function f(x). First, we split the function:

f(x) = (x^2 + 5x) + 9

And recognise that we need the form (x^2 + 2k + k^2). Identifying 2k = ...

LB
Answered by Lee B. Maths tutor
7268 Views

Simplify (4^2)*(2^3)*16

Indice rules are fundamental in answering this question 1) (ab)(ac) = a(b+c)  2) (ab)/(ac) = a(b-c)  3) (ab)c = a

OW
Answered by Oak W. Maths tutor
3400 Views

Solve 6x-5 > 4x+13

6x - 5 > 4x + 13        (Take away 4x from each side) 

2x - 5 > 13                (Add 5 to each side) 

2x > 18                     (Divide both sides by 2)

x > 9 

NH
Answered by Namita H. Maths tutor
6579 Views

Solve the equation 3x^2/3 + x^1/3 − 2 = 0

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