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Popular >

derivative of f(x)=e^{xsqrt(7x+6)}

Solution

derivative of

f (x) = e^{x 7 x + 6}

Solution

\frac{e ^{x 7 x + 6} ( 21 x + 12 )}{2 7 x + 6}

Solution steps

\frac{d}{d x} (e^{x 7 x + 6})

Apply the chain rule:

e^{x 7 x + 6} \frac{d}{d x} (x 7 x + 6)

= e^{x 7 x + 6} \frac{d}{d x} (x 7 x + 6)

\frac{d}{d x} (x 7 x + 6) = \frac{21 x + 12}{2 7 x + 6}

= e^{x 7 x + 6} \frac{21 x + 12}{2 7 x + 6}

Multiply fractions:

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

= \frac{e ^{x 7 x + 6} ( 21 x + 12 )}{2 7 x + 6}

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inverse oflaplace 7/(2s^{2+8)}inverse laplace

\frac{7}{2 s ^{2 + 8}}

integral of cos^{2-2}(x)

\int cos^{2 - 2} (x) d x

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\int \frac{x ^{2} + 12 x - 1}{x ^{3} - x} d x

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\int \frac{- sin ( x ) tan ( x )}{1} d x

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\frac{d}{d x} (\frac{14}{x})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=e^{xsqrt(7x+6)} ?
The derivative of f(x)=e^{xsqrt(7x+6)} is (e^{xsqrt(7x+6)}(21x+12))/(2sqrt(7x+6))
What is the first derivative of f(x)=e^{xsqrt(7x+6)} ?
The first derivative of f(x)=e^{xsqrt(7x+6)} is (e^{xsqrt(7x+6)}(21x+12))/(2sqrt(7x+6))