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y = x^2 − 2*x − 24*sqrt(x) - i) find dy/dx ii) find d^2y/dx^2

Solved by differentiation with respect to x,i) dy/dx = 2 x - 2 - 12 x^(-1/2)ii) d^2y/dx^2 = 2 + 6*x^(-3/2)
DG
Answered by Duncan G. • Maths tutor
6135 Views

Complete the indefinite integral of 3x^2 + 4x -2/(x^2)

for each of the terms in x, the power to which x is raised increases by 1, and then each term is divided by the new power. A constant of integration is introduced because we were not asked to integrate betwe...
EC
Answered by Ed C. • Maths tutor
4492 Views

Find the equation of a straight line that passes through the points (2,7) and (5,3)

Since we're told the line is straight, the equation of the line will be of the form y = mx + c.The gradient of the line, m, is the change in y divided by the change in x ; m = (3-7)/(5-2) = - 4/3.Therefore, ...
JN
Answered by Joshua N. • Maths tutor
3947 Views

How do you find the point of intersection of two vector lines?

Each vector line can be simplified into three separate equations in terms of the lines parameter and one of 'x,y and z.' This process can be done for both lines, creating six equations in total. By setting t...
JP
Answered by Joe P. • Maths tutor
18797 Views

write x^2 + 10x - 6 in the form (x+a)^2 + b

(x + 5) 2 - 5 2 - 6(x + 5) 2 - 25 - 6(x + 5) 2 - 31
TB
Answered by Thomas B. • Maths tutor
7577 Views