What is the derivative of e^{sqrt(sec(x^2)}) ?

The derivative of e^{sqrt(sec(x^2)}) is e^{sqrt(sec(x^2))}xtan(x^2)sqrt(sec(x^2))

What is the first derivative of e^{sqrt(sec(x^2)}) ?

The first derivative of e^{sqrt(sec(x^2)}) is e^{sqrt(sec(x^2))}xtan(x^2)sqrt(sec(x^2))

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\frac{d}{d x} (e^{s e c (x^{2})})

e^{s e c (x^{2})} x tan (x^{2}) sec (x^{2})

Solution steps

\frac{d}{d x} (e^{s e c (x^{2})})

Apply the chain rule:

e^{s e c (x^{2})} \frac{d}{d x} (sec (x^{2}))

= e^{s e c (x^{2})} \frac{d}{d x} (sec (x^{2}))

\frac{d}{d x} (sec (x^{2})) = x tan (x^{2}) sec (x^{2})

= e^{s e c (x^{2})} x tan (x^{2}) sec (x^{2})

x \to 0 + lim (\frac{ln ( x + 1 )}{x})

sin (3 x) + cos (8 x)

(1 + x^{2}) (\frac{d y}{d x}) - 2 x y = 0

\int_{\frac{π}{2}}^{π} x - sin (x) d x

\frac{d y}{d x} = \frac{3 x}{4 y}

What is the derivative of e^{sqrt(sec(x^2)}) ?
The derivative of e^{sqrt(sec(x^2)}) is e^{sqrt(sec(x^2))}xtan(x^2)sqrt(sec(x^2))
What is the first derivative of e^{sqrt(sec(x^2)}) ?
The first derivative of e^{sqrt(sec(x^2)}) is e^{sqrt(sec(x^2))}xtan(x^2)sqrt(sec(x^2))