Find the Derivative of the Function x ^ 5 + 9x ^ 20 + 1

To find the derivative of a given function, which is represented as a sum of elementary functions, according to the rules for finding the derivative, it is necessary to find the derivative of each term;

y ‘= (x ^ 5 + 9 x ^ 20 + 1)’ = (x ^ 5) ‘+ (9 x ^ 20)’ + (1) ‘;

Now we will use the table of derivatives of elementary functions;

(x ^ 5) ‘= 5 * x ^ 4;

(9 x ^ 20) ‘= 9 * 20 x ^ 19;

(1) ‘= 0;

We substitute the results obtained in the original task and get the answer:

y ‘= 5 * x ^ 4 + 180 * x ^ 19.