What is the derivative of x^{8cos(x)} ?

The derivative of x^{8cos(x)} is 8x^{8cos(x)}(-sin(x)ln(x)+(cos(x))/x)

What is the first derivative of x^{8cos(x)} ?

The first derivative of x^{8cos(x)} is 8x^{8cos(x)}(-sin(x)ln(x)+(cos(x))/x)

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derivative of

x^{8 c o s (x)}

8 x^{8 c o s (x)} (- sin (x) ln (x) + \frac{cos ( x )}{x})

Solution steps

\frac{d}{d x} (x^{8 c o s (x)})

Apply exponent rule:

a^{b} = e^{b l n (a)}

x^{8 c o s (x)} = e^{8 c o s (x) l n (x)}

= \frac{d}{d x} (e^{8 c o s (x) l n (x)})

Apply the chain rule:

e^{8 c o s (x) l n (x)} \frac{d}{d x} (8 cos (x) ln (x))

= e^{8 c o s (x) l n (x)} \frac{d}{d x} (8 cos (x) ln (x))

\frac{d}{d x} (8 cos (x) ln (x)) = 8 (- sin (x) ln (x) + \frac{cos ( x )}{x})

= e^{8 c o s (x) l n (x)} \cdot 8 (- sin (x) ln (x) + \frac{cos ( x )}{x})

e^{8 c o s (x) l n (x)} = x^{8 c o s (x)}

= 8 x^{8 c o s (x)} (- sin (x) ln (x) + \frac{cos ( x )}{x})

x \to 1 - lim (1 - x^{3})

\int \frac{2}{16 - 25 x ^{2}} d x

\frac{d}{d x} (\frac{1}{x ^{2} - 2})

f (x) = \frac{x ^{3}}{x ^{2} - 1}

\int \frac{x}{x ^{2} - 9} d x

What is the derivative of x^{8cos(x)} ?
The derivative of x^{8cos(x)} is 8x^{8cos(x)}(-sin(x)ln(x)+(cos(x))/x)
What is the first derivative of x^{8cos(x)} ?
The first derivative of x^{8cos(x)} is 8x^{8cos(x)}(-sin(x)ln(x)+(cos(x))/x)