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# Finding Equations of tangents watch

1. A bit stuck on these questions, can someone help me through the steps on how to do these please. Greatly appreciated!

1) Find the equations of the tangents to the curve y=3x^2 5x-1 at the point's of intersection of the curve and the line y=x-1

2) Find the coordinates of the point on y=x^2 at which the gradient is 2. Hence find the equation of the tangent to y=x^2 whose gradient is 2

3) Find the coordinates of the point on y=x^2-5 at which the gradient is 3. Hence find the value of c for which the line y=3x c is a tangent to y=x^2 -5
The x^2 means x to the power of 2 and same for the others.
2. (Original post by MathsGuy25)
A bit stuck on these questions, can someone help me through the steps on how to do these please. Greatly appreciated!

1) Find the equations of the tangents to the curve y=3x^2 5x-1 at the point's of intersection of the curve and the line y=x-1

2) Find the coordinates of the point on y=x^2 at which the gradient is 2. Hence find the equation of the tangent to y=x^2 whose gradient is 2

3) Find the coordinates of the point on y=x^2-5 at which the gradient is 3. Hence find the value of c for which the line y=3x c is a tangent to y=x^2 -5
The x^2 means x to the power of 2 and same for the others.
1) diff the quadratic to find a general tangent equation and equal the y values and solve for x to find a value for which they meet
3. (Original post by MathsGuy25)
A bit stuck on these questions, can someone help me through the steps on how to do these please. Greatly appreciated!

1) Find the equations of the tangents to the curve y=3x^2 5x-1 at the point's of intersection of the curve and the line y=x-1

2) Find the coordinates of the point on y=x^2 at which the gradient is 2. Hence find the equation of the tangent to y=x^2 whose gradient is 2

3) Find the coordinates of the point on y=x^2-5 at which the gradient is 3. Hence find the value of c for which the line y=3x c is a tangent to y=x^2 -5
The x^2 means x to the power of 2 and same for the others.
but first have you tried to do these questions? please show working so we can help

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Updated: October 7, 2017
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