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How do you use a calculator to find the derivative of #f(x)=e^(x^2)# ?

Answer 1

Emma Aldridge

#f'(x)=e^(x^2)*(2x)#

Solution :

let's #y=e^f(x)#

then, differentiating with respect to #x# using Chain Rule, we get

#y'=e^f(x)*f'(x)#

similarly following for the given function,

#f(x)=e^(x^2)#

#f'(x)=e^(x^2)*(x^2)'#

#f'(x)=e^(x^2)*(2x)#

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Answer 2

Christopher Allers

To find the derivative of ( f(x) = e^{x^2} ) using a calculator:

Enter the function ( e^{x^2} ) into the calculator.
Find the "derivative" function or symbol on your calculator. It might be labeled as "dy/dx" or "d/dx".
Apply the derivative function/symbol to the entered function.
Evaluate the result to find the derivative of ( f(x) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.