Question

Try using the shortcut for the derivative of a polynomial and then substitute the value of the variable. if f(x) = 2x2+2, then what is the slope of f(x) at x = 7?

Answer 1

`f^(\prime)(x)=(2x^2)^(\prime)+(2)^(\prime)=4x`
Then for the slope just plug x=7 into the differentiated function:

`f^(\prime)(x=7)=4.7=28`
Remember that the derivative of a function is the slope of the tangent line at the point of coordinate x.