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let y=6x^-0.5+2x+1, find dy/dx.

dy/dx = -6(0.5)x^-1.5+2

= -3x^-1.5+2

Answered by Rodger L. • Maths tutor

3930 Views

Can you explain the quadratic formula?

The quadratic formula is used to solve the quadratic equation. Although methods like factorising or completing the square can easily be used, this offers another method which can be used for more difficul...

Answered by Shazeaa I. • Maths tutor

3816 Views

Show that y=3x-2 and 3y-9x+5=0 are parallel.

Parallel lines have the same gradient (same 'm' value in y=mx+c). Therefore m=3 for both equations; if they are parallel lines. The second equation needs to be rearranged for y to determine this. 3y-9x+5 ...

Answered by Nicole G. • Maths tutor

14520 Views

Integrate the following fraction w.r.t. x: (sqrt(x^2 + 1)-sqrt(x^2 - 1))/(sqrt(x^4 - 1))

Notice the denominator can be factorised as the difference of two squares. The fraction can then be simplified by cancellation. The resulting fraction(s) can then be solved using the list of integrals in ...

Answered by Tutor80072 D. • Maths tutor

4350 Views