Use [f(a+h)-f(a)]/h to find the slope of curve at x=a?

Question

For the equation f(x) = 2x^2+3x

Answer 1

Given that

To find slope by using

To find slope at x = a substitutes values in

Cancel h in numerator and denominator

= 2(0) + 4a + 3

= 4a + 3

Therefore the slope of the curve at x = a for given f(x) = 2x^2 + 3x  is 4a + 3