Question

Second derivative of y=2x^(1/5)+3

Answer 1

d²y/dx² = -8/25 (x)^(-9/5)

Explanation:

y = 2(x)^(1/5) + 3

Use power rule:

dy/dx = 2 (1/5) (x)^(1/5 − 1)

dy/dx = 2/5 (x)^(-4/5)

Use power rule again:

d²y/dx² = 2/5 (-4/5) (x)^(-4/5 − 1)

d²y/dx² = -8/25 (x)^(-9/5)