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Sagot :
The derivative of the given equation is [tex]\frac{dg(x) }{dx} = {e^{5x^{2} - 4x} } \,[/tex].
According to the statement
we have given that the statement and we have to find the derivative of that term.
So, We know that the
The given equation is
[tex]g(t) = \int\limits^x_4 {e^{5t^{2} - 4t} } \, dt[/tex]
Now find the derivative of that term
We find the derivative of the given term is with the help of the FTC.
And then
[tex]\frac{dg(x) }{dt} = {e^{5x^{2} - 4x} } \, \frac{dx}{dx}[/tex]
Then the equation become is
[tex]\frac{dg(x) }{dx} = {e^{5x^{2} - 4x} } \,[/tex]
So, this is the derivative of the given equation.
So, The derivative of the given equation is [tex]\frac{dg(x) }{dx} = {e^{5x^{2} - 4x} } \,[/tex].
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