What is the slope of the curve f(x)=-3/4x^2 at the point (4, -12)?

to find the slope of the tangent line to the curve at the point  , we can first differentiate  with respect to .using the power rule for differentiation, which states thatwe can differentiate as follows: the derivative function gives you the slope of the tangent line to the graph of  at whatever x-value you put in (so tangent line to the point  on the graph of  )the point (4,-12) has the x-value of 4.so plug in 4 into the derivative function.so the slope of the tangent line to the curve at the point  is 

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