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Popular >

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

Solution

derivative of

e^{s i n (x^{2})}

Solution

e^{s i n (x^{2})} cos (x^{2}) \cdot 2 x

Solution steps

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

Apply the chain rule:

e^{s i n (x^{2})} \frac{d}{d x} (sin (x^{2}))

= e^{s i n (x^{2})} \frac{d}{d x} (sin (x^{2}))

\frac{d}{d x} (sin (x^{2})) = cos (x^{2}) \cdot 2 x

= e^{s i n (x^{2})} cos (x^{2}) \cdot 2 x

Popular Examples

limit as x approaches-infinity of (sqrt(2x^2+3))/(2x+3)

x \to - \infty lim (\frac{2 x ^{2} + 3}{2 x + 3})

limit as x approaches-1 of 3

x \to - 1 lim (3)

integral of (24x+24)e^{4x^2+8x+b}

\int (24 x + 24) e^{4 x^{2} + 8 x + b} d x

derivative of (x^3+4e^{3x})

\frac{d}{d x} ((x^{3} + 4) e^{3 x})

integral of e^{x+y^2-z}

\int e^{x + y^{2} - z} d x

Frequently Asked Questions (FAQ)

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