how to find the derivative of the following function Tv5v173
how to find the derivative of the following function?
T(v)=5v^17-3v^12+41v^3-7 v=2
Solution
For any function f(x) = x^n, the derivative is nx^(n-1)
Here we have the expression: T(v)=5v^17-3v^12+41v^3-7.
The derivative of T(v) or T\'(v) = 17*5 v^16 - 12*3 v^11 + 41*3v^2.
= 85 v^16 - 36v^11 +123 v^2
For v= 2,
T\'(v) = 85 2^16 - 36 2^11 +123 2^2
= 85* 65536 - 36*2048 + 123*4
= 5570560 - 73728 + 492
= 5497324
The required result is 5497324
