Find the equation of the tangent line at x = −4 on the function 1/x^2 

Question

the limit of the difference quotient giving us the slope of the tangent line

Answer 1

f(x) = 1/x² = x^-2

f(-4) = 1/16

f^'(x) = -2/x³

m_tan = f^'(-4) = 1/32

y - 1/16 = 1/32(x + 4)