What is the derivative of [x+(x+sin^2(x)^5]^3) ?

The derivative of [x+(x+sin^2(x)^5]^3) is 3(x+(x+sin^2(x))^5)^2(1+5(x+sin^2(x))^4(1+sin(2x)))

What is the first derivative of [x+(x+sin^2(x)^5]^3) ?

The first derivative of [x+(x+sin^2(x)^5]^3) is 3(x+(x+sin^2(x))^5)^2(1+5(x+sin^2(x))^4(1+sin(2x)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ([x + (x + sin^{2} (x))^{5}]^{3})

3 (x + (x + sin^{2} (x))^{5})^{2} (1 + 5 (x + sin^{2} (x))^{4} (1 + sin (2 x)))

Solution steps

\frac{d}{d x} ((x + (x + sin^{2} (x))^{5})^{3})

Apply the chain rule:

3 (x + (x + sin^{2} (x))^{5})^{2} \frac{d}{d x} (x + (x + sin^{2} (x))^{5})

= 3 (x + (x + sin^{2} (x))^{5})^{2} \frac{d}{d x} (x + (x + sin^{2} (x))^{5})

\frac{d}{d x} (x + (x + sin^{2} (x))^{5}) = 1 + 5 (x + sin^{2} (x))^{4} (1 + sin (2 x))

= 3 (x + (x + sin^{2} (x))^{5})^{2} (1 + 5 (x + sin^{2} (x))^{4} (1 + sin (2 x)))

\int - \frac{2000 t}{( 1 + t ^{2} )} d t

\frac{d}{d x} (4 x^{2} + x)

x^{2} - 6 x

x \to - 2 - lim (- 1)

3 (x^{2} + 3 x + 1)^{2} (2 x + 3)

What is the derivative of [x+(x+sin^2(x)^5]^3) ?
The derivative of [x+(x+sin^2(x)^5]^3) is 3(x+(x+sin^2(x))^5)^2(1+5(x+sin^2(x))^4(1+sin(2x)))
What is the first derivative of [x+(x+sin^2(x)^5]^3) ?
The first derivative of [x+(x+sin^2(x)^5]^3) is 3(x+(x+sin^2(x))^5)^2(1+5(x+sin^2(x))^4(1+sin(2x)))