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Popular >

derivative of e^{tan(x^3})

Solution

\frac{d}{d x} (e^{t a n (x^{3})})

Solution

e^{t a n (x^{3})} sec^{2} (x^{3}) \cdot 3 x^{2}

Solution steps

\frac{d}{d x} (e^{t a n (x^{3})})

Apply the chain rule:

e^{t a n (x^{3})} \frac{d}{d x} (tan (x^{3}))

= e^{t a n (x^{3})} \frac{d}{d x} (tan (x^{3}))

\frac{d}{d x} (tan (x^{3})) = sec^{2} (x^{3}) \cdot 3 x^{2}

= e^{t a n (x^{3})} sec^{2} (x^{3}) \cdot 3 x^{2}

Popular Examples

integral of (2e^{2x})/(e^{2x)+10e^x+24}

\int \frac{2 e ^{2 x}}{e ^{2 x} + 10 e ^{x} + 24} d x

derivative of-5/(x^2)derivative of

- \frac{5}{x ^{2}}

integral of 3cos((pit)/2)

\int 3 cos (\frac{π t}{2}) d t

integral of 4sin(x)cos(x)

\int 4 sin (x) cos (x) d x

limit as x approaches 0 of ((sin^3(2x)))/((sin^3(3x)))

x \to 0 lim (\frac{( sin ^{3} ( 2 x ) )}{( sin ^{3} ( 3 x ) )})

Frequently Asked Questions (FAQ)

What is the derivative of e^{tan(x^3}) ?
The derivative of e^{tan(x^3}) is e^{tan(x^3)}sec^2(x^3)*3x^2
What is the first derivative of e^{tan(x^3}) ?
The first derivative of e^{tan(x^3}) is e^{tan(x^3)}sec^2(x^3)*3x^2