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Popular >

derivative of sin(tan(e^{x^2}))

Solution

derivative of

sin (tan (e^{x^{2}}))

Solution

cos (tan (e^{x^{2}})) sec^{2} (e^{x^{2}}) e^{x^{2}} \cdot 2 x

Solution steps

\frac{d}{d x} (sin (tan (e^{x^{2}})))

Apply the chain rule:

cos (tan (e^{x^{2}})) \frac{d}{d x} (tan (e^{x^{2}}))

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

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

= cos (tan (e^{x^{2}})) sec^{2} (e^{x^{2}}) e^{x^{2}} \cdot 2 x

Popular Examples

integral of 1/((s^2+1)^3)

\int \frac{1}{( s ^{2} + 1 ) ^{3}} d s

y^{''}-4y^'+5y=0,y(0)=1,y^'(0)=-1

y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = - 1

integral of (x^2)/(x^3+2)

\int \frac{x ^{2}}{x ^{3} + 2} d x

derivative of tan(x^2+1)

\frac{d}{d x} (tan (x^{2} + 1))

derivative of 7 derivative of

7

Frequently Asked Questions (FAQ)

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