What is the derivative of cos(sqrt(x)+e^x) ?

The derivative of cos(sqrt(x)+e^x) is -sin(sqrt(x)+e^x)(1/(2sqrt(x))+e^x)

What is the first derivative of cos(sqrt(x)+e^x) ?

The first derivative of cos(sqrt(x)+e^x) is -sin(sqrt(x)+e^x)(1/(2sqrt(x))+e^x)

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\frac{d}{d x} (cos (x + e^{x}))

- sin (x + e^{x}) (\frac{1}{2 x} + e^{x})

Solution steps

\frac{d}{d x} (cos (x + e^{x}))

Apply the chain rule:

- sin (x + e^{x}) \frac{d}{d x} (x + e^{x})

= - sin (x + e^{x}) \frac{d}{d x} (x + e^{x})

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

= - sin (x + e^{x}) (\frac{1}{2 x} + e^{x})

\frac{d}{d x} (\frac{x ^{2} + 4}{5 x - 9})

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = - 7.5, y^{^{'}} (0) = \frac{23}{5}

f (x) = 3

x \to 9 - lim (\frac{2}{x - 9})

\int tan^{4} (8 x) d x

What is the derivative of cos(sqrt(x)+e^x) ?
The derivative of cos(sqrt(x)+e^x) is -sin(sqrt(x)+e^x)(1/(2sqrt(x))+e^x)
What is the first derivative of cos(sqrt(x)+e^x) ?
The first derivative of cos(sqrt(x)+e^x) is -sin(sqrt(x)+e^x)(1/(2sqrt(x))+e^x)