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How do I differentiate 4x^3 + 2x + x^4 with respect to x?

With differentiation and integration, we can take each term separately. In general, to difference a term involving x's with respect to x, you first multiply the power of x by the coefficient of x to find the...
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Answered by Laura T. • Maths tutor
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The nth term of a sequence is 7n-4. Write down the 4th term and the 10th term of the sequence. The first four terms of a different sequence are 9, 13, 17, 21. Find an expression for the nth term of this sequence.

The nth term of a sequence means that when we substitute the value of n in to the equation, we find that term. So to find the 4th term in the sequence, we substitute 4 in for n. 7(4)-4=28-4=24. The 10th term...
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Answered by Laura T. • Maths tutor
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Find the median, mean, and mode of the following set of data: 55, 43, 62, 91, 2, 43, 34, 16, 16.

To find the median, we first need to rewrite the set of data in ascending order of values: 2, 16, 16, 34, 43, 43, 55, 62, 91. We then count how many items are in this list. The median is the item in the midd...
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Answered by Laura T. • Maths tutor
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what is the determinant of a 2x2 matrix

the determinant is calculated using the formula ad - bc where a,b,c and d are the following positions in the matrix [a b c d]
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Answered by Abdullah T. • Maths tutor
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How do I solve sequences and how can I get the nth number?

e.g : 2,4,6,8.. the formula for the sequence can be found by using a+(n-1)d , where a is the first number in the sequence and d is the diffenece between the adjacent numbers in the sequence. so a =2 and d=2 ...
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Answered by Abdullah T. • Maths tutor
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