Find the third power derivative of the function f (x) = x by tgx.
| August 9, 2021 | education
Calculate the derivative of the function f (x) = x ^ 3 * tan x.
Since the function is not complicated, but simple, it is enough to apply the formulas for the derivative of a simple function.
The derivative of the function is:
f ‘(x) = (x ^ 3 * tan x)’ = (x ^ 3) ‘* tan x + tan’ x * x ^ 3 = 3 * x ^ 2 * tan x + 1 / cos ^ 2 x * x ^ 3 = 3 * x ^ 2 * tan x + x ^ 3 / cos ^ 2 x;
From this we obtain the derivative of the function is equal to f ‘(x) = 3 * x ^ 2 * tan x + x ^ 3 / cos ^ 2 x.
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