The derivative of the function will be found as the derivative of a complex function.
y = 2 ^ (sin ^ 2 (2x)).
The function is indicative, the exponent is a complex function.
The derivative of a function is the same expression of a function, multiplied by the natural logarithm of the base and by the derivative of the exponent – the degree of the sine, its derivative and also by the derivative of the argument.
y ‘= 2 ^ (sin ^ 2 (2x)) * ln 2 * 2 * sin (2x) * cos (2x) * 2;
y ‘= sin 4x * ln 2 * 2 ^ (sin ^ 2 (2x) + 1).
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