What is the derivative of (x+(x+sin^2(x)^7)^3) ?

The derivative of (x+(x+sin^2(x)^7)^3) is 3(x+(x+sin^2(x))^7)^2(1+7(x+sin^2(x))^6(1+sin(2x)))

What is the first derivative of (x+(x+sin^2(x)^7)^3) ?

The first derivative of (x+(x+sin^2(x)^7)^3) is 3(x+(x+sin^2(x))^7)^2(1+7(x+sin^2(x))^6(1+sin(2x)))

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\frac{d}{d x} ((x + (x + sin^{2} (x))^{7})^{3})

3 (x + (x + sin^{2} (x))^{7})^{2} (1 + 7 (x + sin^{2} (x))^{6} (1 + sin (2 x)))

Solution steps

\frac{d}{d x} ((x + (x + sin^{2} (x))^{7})^{3})

Apply the chain rule:

3 (x + (x + sin^{2} (x))^{7})^{2} \frac{d}{d x} (x + (x + sin^{2} (x))^{7})

= 3 (x + (x + sin^{2} (x))^{7})^{2} \frac{d}{d x} (x + (x + sin^{2} (x))^{7})

\frac{d}{d x} (x + (x + sin^{2} (x))^{7}) = 1 + 7 (x + sin^{2} (x))^{6} (1 + sin (2 x))

= 3 (x + (x + sin^{2} (x))^{7})^{2} (1 + 7 (x + sin^{2} (x))^{6} (1 + sin (2 x)))

What is the derivative of (x+(x+sin^2(x)^7)^3) ?
The derivative of (x+(x+sin^2(x)^7)^3) is 3(x+(x+sin^2(x))^7)^2(1+7(x+sin^2(x))^6(1+sin(2x)))
What is the first derivative of (x+(x+sin^2(x)^7)^3) ?
The first derivative of (x+(x+sin^2(x)^7)^3) is 3(x+(x+sin^2(x))^7)^2(1+7(x+sin^2(x))^6(1+sin(2x)))