00:01
Now, next of exercise 36.
00:05
First, we need to find the derivative of the function fx equals 4 times x to a power of 5 fourths, plus 2 times x to the power of 3 halves plus x.
00:26
According to root 4, the derivative of the sum equals the sum of the derivative.
00:32
Hence it equals the derivative of the first term plus the derivative of the second term plus the derivative of the next term.
00:57
And now we can use rule 3, we can put the constant in front of the derivative.
01:09
And for the second term, we put 2 in front of the derivative.
01:18
And for the third term, the cancel.
01:20
And then it's just to 1.
01:23
And now comes the rule 2.
01:27
For the first term, n equals 5 fourths.
01:35
And for the second term, an equals 3 halves...