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Popular >

derivative of e^{xsqrt(9x+10)}

Solution

derivative of

e^{x 9 x + 10}

Solution

\frac{e ^{x 9 x + 10} ( 27 x + 20 )}{2 9 x + 10}

Solution steps

\frac{d}{d x} (e^{x 9 x + 10})

Apply the chain rule:

e^{x 9 x + 10} \frac{d}{d x} (x 9 x + 10)

= e^{x 9 x + 10} \frac{d}{d x} (x 9 x + 10)

\frac{d}{d x} (x 9 x + 10) = \frac{27 x + 20}{2 9 x + 10}

= e^{x 9 x + 10} \frac{27 x + 20}{2 9 x + 10}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e ^{x 9 x + 10} ( 27 x + 20 )}{2 9 x + 10}

Popular Examples

integral of e^{cos(x)}sin(x)

\int e^{c o s (x)} sin (x) d x

(\partial)/(\partial x)(-2sin(x))

\frac{\partial}{\partial x} (- 2 sin (x))

y^{''}-2y^'-3y=0,y(0)=2,y^'(0)=2

y^{^{''}} - 2 y^{^{'}} - 3 y = 0, y (0) = 2, y^{^{'}} (0) = 2

(y+4)y^'=2xy+4y

(y + 4) y^{^{'}} = 2 x y + 4 y

taylor 1/(X-1),12 taylor

\frac{1}{X - 1}, 12

Frequently Asked Questions (FAQ)

What is the derivative of e^{xsqrt(9x+10)} ?
The derivative of e^{xsqrt(9x+10)} is (e^{xsqrt(9x+10)}(27x+20))/(2sqrt(9x+10))
What is the first derivative of e^{xsqrt(9x+10)} ?
The first derivative of e^{xsqrt(9x+10)} is (e^{xsqrt(9x+10)}(27x+20))/(2sqrt(9x+10))