Differentiate using chain rule cos2(x3)

1.	Differentiate using chain rule cos2(x3)
Answer» Chain Rule: If y = f(t) and t = g(x) then dy/dx = dy/dt x dt/dx d/dx cos²(x³) = 2 cos(x³) * d/dx {cos(x³)} = 2 cos(x³) * ( – sin (x³)) * d/dx (x³) = 2 cos(x³) * ( – sin (x³)) * 3x² = – 6x² cos(x³) sin x³

Answer»

Chain Rule:

If y = f(t) and t = g(x) then dy/dx = dy/dt x dt/dx

d/dx cos²(x³) = 2 cos(x³) * d/dx {cos(x³)}

= 2 cos(x³) * ( – sin (x³)) * d/dx (x³)

= 2 cos(x³) * ( – sin (x³)) * 3x²

= – 6x² cos(x³) sin x³

Discussion

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