Find the derivative. 4) y=(4x+3)^5
1 answer:
Answer:
Step-by-step explanation:
We can find the derivative using the <u>chain rule.</u>
To get the derivative of an expression with an exponent you multiply the expression by the exponent and raise it to the power of the exponent minus one.
Then multiply it by the derivative of the expression inside the parentheses.
The derivative of 4x+3 is 4, so multiply the rest by 4.
Therefore the derivative is:
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From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.
<h3>What is the explanation for the above function?</h3>Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:
f(x) = 100 *
Assuming x = -2, we'd have:
100 * 2.7182
= 271.82
= 0.00001353354
Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.
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