Determine the slope of the tangent to the function,`g(x)=(-3x^3)/(4+3x)` , at x=1.

Determine the slope of the tangent to the function,`g(x)=(-3x^3)/(4+3x)` , at x=1.

Determine the slope of the tangent to the function,`g(x)=(-3x^3)/(4+3x)` , at x=1.

The slope of the tangent to the graph of y = f(x) at x = a is given by f'(a).For `g(x) = (-3x^3)/(4 + 3x)“g'(x) = (-9x^2*(4 + 3x) + 3x^3*3)/(4 + 3x)^2`At x = 1, `g'(x) = (-9*1*(4 + 3) + 3*3)/(4 + 3)^2`= `(-9*7 + 9)/49 = -54/49` The slope of the tangent to `g(x) = (-3x^3)/(4 + 3x)` at x = 1 is `-54/49`