Find the derivatives of the functions and simplify results f

Find the derivatives of the functions and simplify results (factors rather than terms where possible and positive exponents) y^3 = x^3 - 4x^2 y = -3x^-2 g(x) = -4x^2/3x + 4 y = 5x^2 (2x + 3)^5

Solution

a)dy/dx=3x²-8x b)6/ x³   c)dg/dx=(3x+ 4).-8x+4x2(3)/ (3x+4}(3x+4) =-x4x(3x+4)(3x+4) d)dy/dx=5x²x5(2x+3)⁴x2+(2x+3)⁵ x10x=(2x+3)4(70x²+30x) ans