Answers>Maths>A Level>Article

Find the gradient of the tangent to the curve y=4x^2 - 7x at x = 2

First, we differentiate our equation using the power rule:dy/dx = 8x - 7This is the gradient of our tangent, to the original equation, at any point x. So, to calculate the gradient at x = 2, we substitute this value into dy/dx.So, we have: gradient = 8(2) - 7 = 9 as required.

Answered by Luke A. • Maths tutor

5604 Views

See similar Maths A Level tutors

Find the gradient of the tangent to the curve y=4x^2 - 7x at x = 2

Related Maths A Level answers

Solve 2sin2θ = 1 + cos2θ for 0° ≤ θ ≤ 180°

What is the difference between quotient rule, product rule and chain rule, and when to use them in differentiation?

write the vector equation of a line passing through (1,-1,2) and (2,2,2).

integrate 1/(x^2+4x+13)