How do you find the gradient of a function at a given point?
The gradient of a function is also known as the slope, and the slope (of a tangent) at a given point on a function is also known as the derivative.
To find the gradient, take the derivative of the function with respect to
For example, if you want to know the gradient of the function
Take the derivative with respect to
#12x^2 - 4x#
Substitute the x-coordinate
#(x=1)#in for #x#:
#12(1)^2 - 4(1) = 8#
So the gradient of the function at the point