Question

Why is the Chain Rule used, cant you use the original equation?

Answer 1

its used to differentiate compositions of functions

Answer 2

But its used to get the slope right?

Answer 3

chain rule is used into of the definition of derivative as a shortcut to find the derivative and thus find the slope

Answer 4

The Chain Rule:\[h(x)=f(g(x)).\]\[h'(x)=f'(g(x))g'(x).\]Like Lagrange said, it's a rule for differentiating composition of functions.

Answer 5

instead not into*

Answer 6

other short cut ways: power rule, constant rule, quotient rule
there are all short cuts to find derivative (aka slope)

Answer 7

Thank, it makes a little more sense now.