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How do you find the derivative of #x^2/5#?

Answer 1

Cameron Alexander

#2/5 x#

To differentiate this using #color(blue)" the power rule"#

#d/dx(ax^n)=nax^(n-1)" rewrite" x^2/5"as follows"#

#x^2/5=1/5 x^2" which is now in suitable form"#

#rArr d/dx(1/5 x^2)=2xx1/5 x^1=2/5 x#

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Answer 2

Ezra Adams

To find the derivative of ( \frac{x^2}{5} ), you can apply the power rule for differentiation. The power rule states that if you have a term of the form ( ax^n ), the derivative is ( anx^{n-1} ), where ( a ) and ( n ) are constants. So, for ( \frac{x^2}{5} ), the derivative is ( \frac{2x}{5} ).

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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.