How do you find the derivative of $5^(x^2)$ ?

Question

1916 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-02T17:11:52

$5^(x^2) 2x ln5$

Let y = $5^(x^2)$

ln y= $x^2 ln5$ . Now differentiate w.rt. x both sides,

$1/y dy/dx = 2x ln5$

$dy/dx = 5^(x^2) 2x ln 5$

How do you find the derivative of 5^(x^2) 5^(x^2)?