What is the derivative of (sin^2(x)+1)^5 ?

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

What is the first derivative of (sin^2(x)+1)^5 ?

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

2 t - sin (2 t)

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