Proof: d/dx(e^x) = e^x
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@Michel0555 rem the rule for differentiating a constant raised to a fn, say a^x that is a^x *lna. do the opp for the integrating part of it ie. a^x=a^x /lna,so in ur case it is 5*4^(3x+2) /ln(5*4)........
theoriginalcharlz18 2 days ago
@stuntyannick2 Check ur ans bcuz that looks like u have an x-1 inside the braces which is not correct,rem d/dx of x is 1 in this case -1 so u just multiply this by x=-x and multiply by e^x thus you have -xe^-x or -x/e^x.
theoriginalcharlz18 2 days ago
@Fr33Styla00 -xe^-x
theoriginalcharlz18 2 days ago
@Fr33Styla00 f'x = -(x-1)*e^-x
stuntyannick2 1 week ago
How do you integrate 5*4^(3x+2)
Michel0555 2 weeks ago
What is the derivative of x/e^x ?
Fr33Styla00 2 weeks ago
@imperfectlego Around 2:50. When he uses the chain rule he takes the derivative of the inside function which is e^x.
TryptamineTea 1 month ago
@jcarnt I don't see anywhere where he does that...
imperfectlego 2 months ago
Really? You proved the derivative of e^x by taking the derivative of e^x?
Don't say you didn't because you took it in respect to e^x because that's not a variable.
jcarnt 2 months ago
@PCGamerPortal Be careful, the definition you're thinking of is (1 to x) ∫ (1/t )dt ≡ ln(x) which is a definite integral, not the antiderivative.
GFauxPas 3 months ago