Finding the gradient to the curve using differentiation

[AN630078]

Homework Statement

Hello, I have been revising differentiation and calculus problems but I am rather struggling with the problem below;

The curve y=x^3-x+1 passes through the points P and Q, with x-coordinates of 1 and 1+h respectively.Using differentiation from first principles frind the gradient of the curve at P.

Relevant Equations

f'(x)=f(x+h)-f(x)/h

I have attached a photograph of my workings. I do not know if I have arrived at the right solution, nor whether this is the gradient of f(x) at point P.
I think I seem to overcomplicate these problems when thinking about them which makes me lose confidence in my answers. Thank you to anyone who replies

 

[PeroK]

Looks good to me.

 

[AN630078]

Looks good to me.

Thank you for your reply, really splendid. I have really been trying to improve my understanding problems encompassing differentiation from first principles.