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Simplify (􏰀36x^−2)􏰁^ 0.5

36/x^2 = (36)^0.5/(x^2)^0.56/x = 1/6x

Answered by Dila Y. • Maths tutor

6945 Views

(i) Find the coordinates of the stationary point on the curve y = 3x^2 − 6/x − 2. [5] (ii) Determine whether the stationary point is a maximum point or a minimum point.

i) dy/dx = 0dy/dx = 6x + 6/x^2 6x + 6/x^2 = 06x^3 + 6 = 0x^3 + 1 = 0x^3 = -1x = -1y = 7(-1, 7)ii) d^2y/dx^2 = 6 - 12/x^3 x = -1 6-12/(-1)^3 = 18>0 therefore, minimum point

Answered by Dila Y. • Maths tutor

8107 Views

Find the Binomial Expansion of (1-5x)^4.

First I would set up how i was taught using Pascals Triange. As this is to the power of 4 the numbers across will be 1 4 6 4 1.Then I would multiply each number by the correct power of either (-5x) or (1)...

Answered by Mahomed-Umair V. • Maths tutor

5869 Views

Integrate the function (3x+4)^2 using methods of expansion and substitution

For expansion:(3x+4)²=9x²+24x+16, go through expansion in online classroom. Now we integrate this using standard polynomial integration rules.
For substitution:
use the sub...

Answered by Morgan R. • Maths tutor

3520 Views

Find the tangent to the curve y = x^3 - 2x at the point (2, 4). Give your answer in the form ax + by + c = 0, where a, b and c are integers.

y = x³- 2xdy/dx = 3x²-2plugging in x = 2, therefore gradient = 10using the formula to get the equation of a line y -y₁=m(x - x₁)substitute y₁=4 and ...

Answered by Kevalee S. • Maths tutor

5157 Views