What is the derivative of cos(7^{6x}) ?

The derivative of cos(7^{6x}) is -sin(7^{6x})*6ln(7)*117649^x

What is the first derivative of cos(7^{6x}) ?

The first derivative of cos(7^{6x}) is -sin(7^{6x})*6ln(7)*117649^x

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\frac{d}{d x} (cos (7^{6 x}))

- sin (7^{6 x}) \cdot 6 ln (7) \cdot 11764 9^{x}

Solution steps

\frac{d}{d x} (cos (7^{6 x}))

Apply the chain rule:

- sin (7^{6 x}) \frac{d}{d x} (7^{6 x})

= - sin (7^{6 x}) \frac{d}{d x} (7^{6 x})

\frac{d}{d x} (7^{6 x}) = 6 ln (7) \cdot 11764 9^{x}

= - sin (7^{6 x}) \cdot 6 ln (7) \cdot 11764 9^{x}

x^{2} \frac{d y}{d x} + x y = 1

f (x) = 9 - 4 x^{2}

\int sec^{2} (6 x) d x

\int \frac{t}{e ^{t}} d t

\int \frac{x + 3}{x ^{2} - x + 4} d x

What is the derivative of cos(7^{6x}) ?
The derivative of cos(7^{6x}) is -sin(7^{6x})*6ln(7)*117649^x
What is the first derivative of cos(7^{6x}) ?
The first derivative of cos(7^{6x}) is -sin(7^{6x})*6ln(7)*117649^x