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

The derivative of x^{7cos(x)} is 7x^{7cos(x)}(-sin(x)ln(x)+(cos(x))/x)

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

The first derivative of x^{7cos(x)} is 7x^{7cos(x)}(-sin(x)ln(x)+(cos(x))/x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{7 c o s (x)}

7 x^{7 c o s (x)} (- sin (x) ln (x) + \frac{cos ( x )}{x})

Solution steps

\frac{d}{d x} (x^{7 c o s (x)})

Apply exponent rule:

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

x^{7 c o s (x)} = e^{7 c o s (x) l n (x)}

= \frac{d}{d x} (e^{7 c o s (x) l n (x)})

Apply the chain rule:

e^{7 c o s (x) l n (x)} \frac{d}{d x} (7 cos (x) ln (x))

= e^{7 c o s (x) l n (x)} \frac{d}{d x} (7 cos (x) ln (x))

\frac{d}{d x} (7 cos (x) ln (x)) = 7 (- sin (x) ln (x) + \frac{cos ( x )}{x})

= e^{7 c o s (x) l n (x)} \cdot 7 (- sin (x) ln (x) + \frac{cos ( x )}{x})

e^{7 c o s (x) l n (x)} = x^{7 c o s (x)}

= 7 x^{7 c o s (x)} (- sin (x) ln (x) + \frac{cos ( x )}{x})

x \to 6 lim (2 x + 4)

8 x - 2 x

x \to π lim (csc (x))

x^{2} - 5

f (x) = \frac{3}{x}, at x = a

What is the derivative of x^{7cos(x)} ?
The derivative of x^{7cos(x)} is 7x^{7cos(x)}(-sin(x)ln(x)+(cos(x))/x)
What is the first derivative of x^{7cos(x)} ?
The first derivative of x^{7cos(x)} is 7x^{7cos(x)}(-sin(x)ln(x)+(cos(x))/x)