Question

differentiate [1 + cos (x² - 1)] ³/2​

Answer 1

Answer:

[1+1/√2(x2-1)]3/2

1=2

Answer 2

Answer:

3/2(1+cos(x²-1) (-sin(x²-1) (2x)

Explanation:

3/2(1+cos(x²-1)³/² ------- first differentiate power

3/2(1+cos(x²-1)³/². (-sin(x²-1)) ----- second differentiate cos

3/2(1+cos(x²-1)³/². (-sin(x²-1)) . (2x-0) ----- third (x²-1)

3/2(1+cos(x²-1)³/². (-sin(x²-1)) . (2x)