Search our library of Maths questions

Top answers

Maths

All levels

Find dy/dx for the following equation: f(x) = x^7 + 7x

Differentiation is used to calculate the rate of change. For example, if you have the speed of a car (velocity), and you want to find out the how the speed has changed over time (acceleration), you can di...

Answered by Tola S. • Maths tutor

2428 Views

Integrate 2x^3 -4x +5

2x³- 4x + 5For integration we add 1 to the power, and divide by the new powerso: (2x³⁺¹ )/4 - (4x¹⁺¹)/2 +5x⁰⁺¹=1/2 x⁴- 2x²+ 5x

Answered by Anne Elizabeth G. • Maths tutor

4230 Views

A straight line passes through the point (0, 6) and is perpendicular to y = 4x - 5. Find the equation of this line, giving your answer in the form y = mx + c .

perpendicular so the gradient is -1/4
y= -1/4x +CSub in the coordinate (0,6)
6 = -1/4 (0) +C
C=6y=-1/4x +6

Answered by Maria S. • Maths tutor

7422 Views

factorise x^2 - 8x -65

Two numbers add/ subtract to make -8Two numbers multiply to make -65. These are 1 and 65 as well as 5 and 13Seeing as 1 and 65 cant add or subtract to make -8 the numbers we'll use are 5 and 13. These als...

Answered by Kavi C. • Maths tutor

4456 Views

The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P

Differentiate C:dy/dx=4x+5When x=1dy/dx=4(1)+5dy/dx=9This is gradient of tangent.Gradient of normal=-1/9When x=1, y=4y-4=-1/9(x-1)y=(-1/9)x+(37/9)(-1/9)x+(37/9)=2x^2+5x-30=2x^2+(46/9)x-(64/9)x=1 or x=-32/...

Answered by Hannah C. • Maths tutor

3257 Views