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What is the general equation for a straight graph line and what does each part represent?

Y= mX + c, 'X' is the horizontal value on the axis, the input value. The 'm' represents the gradient of the line, figured out by the change in y divided by the change in x. The 'c' value is the y intercept, ...
TW
Answered by Toby W. • Maths tutor
3530 Views

Find the range of values of x for which: x^2 + 3x + 2 < 0

If you were to factorise this quadratic to find out its roots, you would get: (x+1)(x+2) which gives us roots of -1 and -2. Remember that roots are where the graph crosses the x-axis, and are found by settin...
TN
Answered by Thomas N. • Maths tutor
6316 Views

Find the value of: d/dx(x^2*sin(x))

Use the product rule: d/dx(fg) = f' g + f g' f = x 2 f' = 2x g = sin(x) g' = cos(x) answer = 2xsin(x) + x 2 cos(x)
WR
Answered by Will R. • Maths tutor
10474 Views

Solve x^2+8x-5 = 0 by completing the square.

x 2 + 8x = (x + 4) 2 - 16, so x 2 + 8x - 5 = (x + 4) 2 - 16 - 5 = (x + 4) 2 - 21, so then (x + 4) 2 - 21 = 0 (x + 4) 2 = 21 -----&gt; x + 4 = √21 -------&gt; x = -4 + √21 x = -4 - √21
SJ
Answered by Shadab J. • Maths tutor
12712 Views

Find the equation for the tangent to the curve y^3 + x^3 + 3x^2 + 2y + 8 = 0 at the point (2,1)

As the tangent has the same gradient as the curve at the particular point, we need to find the gradient of the curve. To find the gradient we need to differentiate. Due to there being two variables in this e...
AE
Answered by Aphishek E. • Maths tutor
4701 Views