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

\int - \frac{x}{1 - x} d x

y = - x^{3} + 9 x^{2} - 6 x + 9, (7, 65)

y^{^{'}} = \frac{4 x ^{3} + 1}{2 y - 6}

\frac{d}{d t} (\frac{t sin ( t )}{1 + t})

\int 0.1 x^{2} 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)