Differentiation of Composite Functions

• cos(2x)

derivative of cos(sinx)

• -sin(sinx)

• -cosx.sin(sinx)

• -sin(cosx)

• cosx. sin(sinx)

derivative of sec(tan√x)

• sec(tan√x)tan(tan√x)sec²√x.(1/2√x)

• sec(tan√x)tan(tan√x)sec²√x

• sec(tan√x)tan²(tan√x)sec²√x

• sec²(tan√x)

• None of these

• none of these

The derivative of sin(2x)

• 2cos(x)
• 2sin(2x)
• 2cos(2x)
• 2xcos(2x)

The derivative of xcos(2x²)

• cos(2x²) - 4x²sin(2x²)
• sin(2x²) - 4x²cos(2x²)
• cos(2x²) + 4x²sin(2x²)
• cos(2x²) - 2x²cos(2x²)