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A curve has equation y=x^2 + 2x +5. Find the coordinates of the point at which the gradient is equal to 1.

dy/dx= 2x+2 , gradient is equal to 1 so dy/dx also equals 1.1=2x+2-1=2xx=-1/2plug this value of x into the equation to get y=17/4

Answered by Nikhil L. Maths tutor
3045 Views

Find the derivative, dy/dx, of y = 8xcos(3x).

Let u= 8x then du/dx = 8Let v= cos(3x) then dv/dx = -3sin(3x)Therefore using the product rule: dy/dx = (cos(3x))(8) + (8x)(-3sin(3x))So dy/dx = 8cos(3x) - 24xsin(3x) .

Answered by Joshua C. Maths tutor
2878 Views

3x + x = 12. Find x

Due to the fact that the two 'x' in the question do not have a power (Are not squared or cubed) they can be added. Thus:4x = 12Then we want to find 'x' so we isolate it in the equation. To do this, we nee...

Answered by Tanika D. Maths tutor
1421 Views

3/4 +5/3 = ?

When either adding or subtracting fractions from one another, the denominators have to be the same. Find the lowest common multiple;3*4 = 12then because you multiplied 3 and 4, you also have to multiply t...

Answered by Tanika D. Maths tutor
1734 Views

How do I tell if a curve has a maximum or a minimum?

Firstly we need to find the stationary point on the curve. We know what at a stationary point the gradient is zero so we will find the gradient of the curve. We do this by differentiation, when we have di...

Answered by Charlotte K. Maths tutor
4920 Views

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