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[SCREENSHOT INCLUDED] If y=2^(x^2+2), which of the following gives the slope of the tangent line for all values of x?

[SCREENSHOT INCLUDED] If y=2^(x^2+2), which of the following gives the slope of the tangent line for all values of x?
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[SCREENSHOT INCLUDED] If y=2^(x^2+2), which of the following gives the slope of the tangent line for all values of x?

[SCREENSHOT INCLUDED] If y=2^(x^2+2), which of the following gives the slope of the-example-1
asked
User KevinG
by
8.1k points

1 Answer

0 votes

Answer:

B)
2xln(2)(2^(x^2+2))

Explanation:


y=2^(x^2+2)


y'=(d)/(dx)(2^(x^2+2))


y'=(d)/(dx)(e^((x^2+2)*ln(2)))


y'=(d)/(dx)(e^((x^2ln(2)+2ln(2))))


y'=2xln(2)*e^((x^2+2)(ln(2))


y'=2xln(2)(2^(x^2+2))

Therefore,
2xln(2)(2^(x^2+2)) is the slope of the tangent line

answered
User PaFi
by
7.6k points
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