Question

Find the derivative of the function. $y = e^{13x}$ What rule should be used to differentiate? A. $\frac{d}{dx}[e] = 0$ B. $\frac{d}{dx}[a^x] = (\ln a)a^x$ C. $\frac{d}{dx}[e^x] = e^x$ D. $\frac{d}{dx}[e^{g(x)}] = e^{g(x)}g'(x)$

          Find the derivative of the function.
$y = e^{13x}$
What rule should be used to differentiate?
A. $\frac{d}{dx}[e] = 0$
B. $\frac{d}{dx}[a^x] = (\ln a)a^x$
C. $\frac{d}{dx}[e^x] = e^x$
D. $\frac{d}{dx}[e^{g(x)}] = e^{g(x)}g'(x)$

Find the derivative of the function.
y = e^13x
What rule should be used to differentiate?
A. (d)/(dx)[e] = 0
B. (d)/(dx)[a^x] = (ln a)a^x
C. (d)/(dx)[e^x] = e^x
D. (d)/(dx)[e^g(x)] = e^g(x)g'(x)

Added by Purificaci-N T.

Higher Level Mathematics

Ibrahim Wazir, Tim Garry, Peter… 2012 Edition

Chapter 15

Instant Answer

Solved by Expert Hemraj Kumawat

Step 1

The chain rule states that if we have a function of the form f(g(x)), then the derivative of f(g(x)) with respect to x is given by f'(g(x)) * g'(x). In this case, our function is y = e^(13x), where f(u) = e^u and g(x) = 13x. First, let's find the derivative of Show more…

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Find the derivative of the function y = e^(13x) What rule should be used to differentiate? A. [e] = 0 [ax] = (ln(a))ax B. c % [ex] - x d OD. dx (x, 6x00 = [00]