The derivative of the function f(x) = e^(7x) is found using the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Here, the outer function is e^u and its derivative is e^u. The inner function is 7x and its derivative is 7.

So, the derivative of f(x) = e^(7x) is f'(x) = e^(7x) * 7 = 7e^(7x).

Therefore, the correct answer is A. 7e^(7x).

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The derivative of the function f(x) = e^(7x) is found using the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Here, the outer function is e^u and its derivative is e^u. The inner function is 7x and its derivative is 7.

So, the derivative of f(x) = e^(7x) is f'(x) = e^(7x) * 7 = 7e^(7x).

Therefore, the correct answer is A. 7e^(7x).

Knowee AI · Accepted Answer

The derivative of the function f(x) = e^(7x) is found using the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

Here, the outer function is e^u and its derivative is e^u. The inner function is 7x and its derivative is 7.

So, the derivative of f(x) = e^(7x) is f'(x) = e^(7x) * 7 = 7e^(7x).

Therefore, the correct answer is A. 7e^(7x).

Differentiatef(x)=e7x𝑓(𝑥)=𝑒7𝑥.Select one:A.7e7x7𝑒7𝑥B.e7x−1𝑒7𝑥−1C.e7x−1𝑒7𝑥−1D.−7e7x

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