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Let f(x)= x^3 -9x^2 -81x + 12. Calculate f'(x) and f''(x). Use f'(x) to calculate the x-values of the stationary points of this function.

To answer this question we need to first decide what the question is asking for. In this case the question is asking for the first and second differential of a given function. If we have a function f(x) =...

Answered by Maths tutor
3166 Views

Differentiate y=(sin(x))^(2)

Using the chain rule of dy/dx=dy/du * du/dx we label sin(x) as u. Now we differentiate u with respect to x, getting cos(x). Then we differentiate u2 , getting 2u. Mutiplying these together gets...

BH
Answered by Bill H. Maths tutor
3079 Views

The equation x^2 + (k-5)x + 1 = 0 has equal roots. Determine the possible values of k.

So the first part of this question is regarding your knowledge and understanding on the subject matter. You should know that for real and equal roots, (b2 - 4ac)=0. (For real and unequal roots,...

Answered by Maths tutor
5056 Views

Solve 5(x + 3) < 60

For this we must expand the bracket:5(x+3)= 5x+15and then we rearrange for 'x':x<9

OA
Answered by Othman A. Maths tutor
4155 Views

What is the simplified expression of: 3a - a x 4a + 2a? And what rule do we use to carry out the simplification?

To simplify the expression we use B(rackets)I(nidices)D(ivision)M(ultiplication)A(ddition)S(subtraction) in this specific order.Hence, here the first thing we need to do is identify each element of BIDMAS...

OA
Answered by Othman A. Maths tutor
11078 Views

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