What is the derivative of [x+(x+sin^2(x))^7]^5 ?

The derivative of [x+(x+sin^2(x))^7]^5 is 5(x+(x+sin^2(x))^7)^4(1+7(x+sin^2(x))^6(1+sin(2x)))

What is the first derivative of [x+(x+sin^2(x))^7]^5 ?

The first derivative of [x+(x+sin^2(x))^7]^5 is 5(x+(x+sin^2(x))^7)^4(1+7(x+sin^2(x))^6(1+sin(2x)))

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derivative of

[x + (x + sin^{2} (x))^{7}]^{5}

5 (x + (x + sin^{2} (x))^{7})^{4} (1 + 7 (x + sin^{2} (x))^{6} (1 + sin (2 x)))

Solution steps

\frac{d}{d x} ((x + (x + sin^{2} (x))^{7})^{5})

Apply the chain rule:

5 (x + (x + sin^{2} (x))^{7})^{4} \frac{d}{d x} (x + (x + sin^{2} (x))^{7})

= 5 (x + (x + sin^{2} (x))^{7})^{4} \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))

= 5 (x + (x + sin^{2} (x))^{7})^{4} (1 + 7 (x + sin^{2} (x))^{6} (1 + sin (2 x)))

\int x 1 + 2 x^{2} d x

\int \frac{3}{x ^{7}} d x

x \to \infty lim (e^{- 5})

\int \frac{sin ^{4} ( x )}{cos ^{2} ( x )} d x

x - 10 y = 1, (- 9, 3)

What is the derivative of [x+(x+sin^2(x))^7]^5 ?
The derivative of [x+(x+sin^2(x))^7]^5 is 5(x+(x+sin^2(x))^7)^4(1+7(x+sin^2(x))^6(1+sin(2x)))
What is the first derivative of [x+(x+sin^2(x))^7]^5 ?
The first derivative of [x+(x+sin^2(x))^7]^5 is 5(x+(x+sin^2(x))^7)^4(1+7(x+sin^2(x))^6(1+sin(2x)))