My teacher taught us what is the gradient of a function and what it means. But in this equation: df = ∇f dl , I dont know how to solve ∇f. My teacher put this
Can anyone please teach me how to solve step by step that equation? I tried but I dont get to the same result. Thanks in advance!
You don’t have to solve anything it’s simply the differential of $f$expressed by a dot product of the gradient and $d\vec l$, thus
$$df =\nabla f \cdot d\vec l=f_x dx+f_ydy+f_zdz$$