derivative of aⁿ
derivative of 2⁵ with respect to x is 80.
The derivative of aⁿ, where a is a constant and n is a variable, can be found using the power rule of differentiation.
The power rule states that if a function is in the form of xⁿ, where n is any real number, then its derivative is nx⁽ⁿ⁻¹⁾.
Using this rule, we have:
d/dx (aⁿ) = n*a⁽ⁿ⁻¹⁾
Therefore, we can find the derivative of aⁿ simply by multiplying n by a⁽ⁿ⁻¹⁾.
For example, if we want to find the derivative of 2⁵ with respect to x, we have:
d/dx (2⁵) = 5*2⁽⁵⁻¹⁾ = 5*2⁴ = 80
So, the derivative of 2⁵ with respect to x is 80.
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