Question

find the first second third and fourth derivative of y is equals to 10x raise to Power 9 + 25 x raise to power 4 + 68 + 6 + 12x raise to power 4​

Answer 1

Explanation:

The first derivative of the given function y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:

dy/dx = 90x^8 + 100x^3 + 48x^3

= 90x^8 + 148x^3

The second derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:

d^2y/dx^2 = 720x^7 + 444x^2

The third derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:

d^3y/dx^3 = 5040x^6 + 888x

The fourth derivative of y = 10x^9 + 25x^4 + 68 + 6 + 12x^4 is:

d^4y/dx^4 = 30240x^5 + 888