Derive the function (3^(1-7x)+arcsin(x^0.5))/(o(g^1)/x*l) with respect to x

\frac{d}{dx}\left(\frac{3^{\left(1-7x\right)}+arcsin\left(\sqrt{x}\right)}{lo\cdot\frac{g1}{x}}\right)

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Answer

$cosh\left(x\right)$

Step by step solution

Problem

$\frac{d}{dx}\left(\frac{3^{\left(1-7x\right)}+arcsin\left(\sqrt{x}\right)}{lo\cdot\frac{g1}{x}}\right)$
1

Any expression to the power of $1$ is equal to that same expression

$\frac{d}{dx}\left(\frac{arcsin\left(\sqrt{x}\right)+3^{\left(1-7x\right)}}{o\cdot l\frac{g}{x}}\right)$
2

Taking the derivative of the hyperbolic sine

$\frac{d}{dx}\left(x\right)cosh\left(x\right)$
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The derivative of the linear function is equal to $1$

$1cosh\left(x\right)$
4

Any expression multiplied by $1$ is equal to itself

$cosh\left(x\right)$

Answer

$cosh\left(x\right)$

Problem Analysis

Main topic:

Differential calculus

Time to solve it:

0.27 seconds

Views:

89

All topics:

Differential calculus