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Because by looking at the second derivative of a function you are essentially looking at the rate of change of the rate of change. This carries useful information about a function's behaviour and in some ...
A 2x2 square matrix is of the format (a b;c d). First you must check whether the matrix is invertible at all: if ad - bc is 0, the matrix is not invertible. The inverse matrix is (1/(ad-bc))*(d -...
The product rule is used to differentiate a function when it is in the form y= u(x)v(x). To use the rule you differentiate u(x) and multiply that by v(x), and then add that to the differential of v(x)...
y = 9/8 x + 15/4. Explanation in person.
This question has two parts, firstly the "12x(2x+1)" this is a product rule format, the 1/x is a simple differentiation format but for ease should be written as "x^(-1)" solution: dy/d...
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