Alright, got another calc 1 question.

Show that the curve y=2e^x+3x+5x^3 has no tangent line with slope 2.

I am still a little confused on how to work with (coefficient)e^(power) when it comes to derivation and am stuck.

Question

Alright, got another calc 1 question. 

Show that the curve y=2e^x+3x+5x^3 has no tangent line with slope 2.

I am still a little confused on how to work with (coefficient)e^(power) when it comes to derivation and am stuck.

tkhunny · Answer

$\dfrac{d}{dx}e^{x} = e^{x}$ -- That's it.

$\dfrac{dy}{dx} = 2e^{x} + 3 + 15x^{2}$ --  Okay, prove that this expression NEVER takes on the value 2.