Derivát pre e ^ x-1

2640

#lim_(x->0) sin(x)/x = 1#. It is not shown explicitly in the proof how this limit is evaluated. The only way I know how to evaluate that limit is using l'hopital's rule which means the derivative of #sin(x)# is already assumed to be #cos(x)# and will obviously lead to some circular logic thereby invalidating the proof.

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d/dx[e^-2x] can be solved by using a substitution: Say: u(x) = -2x … [u is a function of x, hence u(x); this is important when considering the chain rule.] By the chain rule, we know that d/dx[e^u] = (e^u) * (d/dx[u]) Since u = -2x, d/dx[u] = d/dx

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Găsirea derivatei este o operație primară în calculul diferențial.Acest tabel conține derivatele celor mai importante funcții, precum și reguli de derivare pentru funcții compuse. Solve your math problems using our free math solver with step-by-step solutions.

Derivát pre e ^ x-1

4/28/2019

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Derivát pre e ^ x-1

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. . . . 100 y=(x2 1)sin(2x) (3x 1)cos(2x) .

. . . . 94 y=(x3 +2x)e 2x. .

. . . . . .

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The derivative of e x is e x. This is one of the properties that makes the exponential function really important. Now you can forget for a while the series expression for the exponential. We only needed it here to prove the result above. We can now apply that to calculate the derivative of other functions involving the exponential. Example 1: f(x) = e ax

94 y = (x3 + 2x)e−2x. . . . . . .