Podcast
Questions and Answers
What is the relationship between the gradient of a curve and the gradient of the tangent to the curve at a given point?
What is the relationship between the gradient of a curve and the gradient of the tangent to the curve at a given point?
- The gradient of the curve is double the gradient of the tangent.
- The gradient of the curve is perpendicular to the gradient of the tangent.
- The gradient of the curve is half the gradient of the tangent.
- The gradient of the curve is equal to the gradient of the tangent. (correct)
What is the purpose of finding the derivative of a function in determining the equation of a tangent to a curve?
What is the purpose of finding the derivative of a function in determining the equation of a tangent to a curve?
- To find the equation of the curve.
- To find the normal to the curve.
- To find the gradient of the tangent. (correct)
- To find the coordinates of the given point.
What is the relationship between the gradients of the tangent and the normal to a curve at a given point?
What is the relationship between the gradients of the tangent and the normal to a curve at a given point?
- The gradients are perpendicular.
- The product of the gradients is -1. (correct)
- The sum of the gradients is 0.
- The gradients are equal.
What is the fourth step in determining the equation of a tangent to a curve?
What is the fourth step in determining the equation of a tangent to a curve?
What is the first step in determining the equation of a tangent to a curve?
What is the first step in determining the equation of a tangent to a curve?
What is the purpose of finding the equation of a tangent to a curve?
What is the purpose of finding the equation of a tangent to a curve?
What is the role of the derivative in determining the equation of a tangent to a curve?
What is the role of the derivative in determining the equation of a tangent to a curve?
Which of the following is NOT a step in determining the equation of a tangent to a curve?
Which of the following is NOT a step in determining the equation of a tangent to a curve?
What is the purpose of substituting the x-coordinate of the given point into the derivative?
What is the purpose of substituting the x-coordinate of the given point into the derivative?
Which equation is used to find the equation of a tangent to a curve?
Which equation is used to find the equation of a tangent to a curve?
What is the relationship between the gradients of the tangent and the normal to a curve at a given point?
What is the relationship between the gradients of the tangent and the normal to a curve at a given point?
What is the significance of the gradient of the tangent to a curve at a given point?
What is the significance of the gradient of the tangent to a curve at a given point?
Which of the following statements is true about the gradient of the tangent to a curve?
Which of the following statements is true about the gradient of the tangent to a curve?
What is the purpose of substituting the x-coordinate of the given point into the derivative?
What is the purpose of substituting the x-coordinate of the given point into the derivative?
What is the relationship between the gradients of the tangent and the normal to a curve at a given point?
What is the relationship between the gradients of the tangent and the normal to a curve at a given point?
What is the equation of a tangent to a curve used for?
What is the equation of a tangent to a curve used for?
What is the significance of the gradient of the tangent to a curve at a given point?
What is the significance of the gradient of the tangent to a curve at a given point?
