What is the end behavior of h(x)=-5x^4+13x/x^3
1 answer:
The end behavior of h(x)= (-5 + 13x ) / x³ is both ends will point in the negative direction.
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
We have h(x)= (-5 + 13x ) / x³
The leading term of this polynomial is -5 (it has the highest degree) where the degree is 4 (even) and the leading coefficient is -5 [it is negative.
Since, this function is even, and the leading coefficient is negative, both ends will point in the negative direction.
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Answer: (a) e ^ -3x (b)e^-3x
Step-by-step explanation:
I suggest the equation is:
d/dx[integral (e^-3t) dt
First we integrate e^-3tdt
Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.
(b) to differentiate the integral let x = t, and substitute into the expression.
Therefore dx = dt
Hence, d/dx[integral (e ^-3x dx)] = e^-3x
