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To find the line's equation, you need the gradient and the y-intercept. The gradient is found using:
(y2-y1)/(x2-x1)
Or simply (change in y direction)/(change in x direction...
To differentiate x2 you bring the power of x down, then reduce the power of x by 1, so d/dx(x2) = 2x1
ln3x differentiates to (d/dx(3x))/3x = 3/3x = 1/x
To differentiate you must look at each term separately. So for x^2 to differentiate we bring the two down to multiply in front of the x and then take one away from the power leaving 2x. For 4x, x is to...
The chain rule works so that if you have y=f(x)g(x), where f(x) and g(x) are functions of x, dy/dx = f'(x)g(x) + f(x)g'(x)
Let A = aP + bP2 , where a and b are constants. Sub. P = 24 , A = 36 , 24a + 576b = 36 2a + 48b = 3 ………… (1) Sub. P = 18 , A = 9 , 18a + 324b = 9 2a + 36b = 1 ………… (...
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