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Find dy/dx when y=2x^(4)+3x^(-1)

To differentiate this equation we use the power rule. This means that we times the power by the coefficient, this now becomes our new coefficient. Then you subtract 1 from the old power and this becomes your...
RC
3308 Views

Find the equation of the line in the form of y=mx+c given that two points on the line are (3,1) and (6,10)

Firstly, we can solve this equation by drawing a graph. By drawing it accurately we can see that the line intercepts the y-axis at -8 making the c value = -8. Next to calculate the gradient, m, we can take a...
SI
Answered by Samuel I. • Maths tutor
5618 Views

Solve the simultaneous equations x^2+ y^2 = 29 and y–x = 3

For this question we will be using the substitution method in order to solve this question. Firstly we will take the less complex equation and rearrange to make either x or y the subject of the formula. We w...
RC
Answered by Rio C. • Maths tutor
4682 Views

solve for x by completing the square x^2 + 4x - 12

(x+2) 2 -16 = 0 (x+2) 2 = 16 x+2 = -4 or +4 x = 2 or -6
ER
Answered by Eden R. • Maths tutor
2947 Views

y is directly proportional to (x-1)^2. When x=5, y=4. Find y when x=7.

The trick to finding y in this question is to interpret the clue in the question of 'directly proportional'. Directly proportional means that the y and the (x-1) 2 scale by the same amount. Another way of sa...
JS
Answered by Jonathan S. • Maths tutor
11590 Views