What is the derivative of sin((5x^2+8^8)) ?

The derivative of sin((5x^2+8^8)) is cos((5x^2+8)^8)*80x(5x^2+8)^7

What is the first derivative of sin((5x^2+8^8)) ?

The first derivative of sin((5x^2+8^8)) is cos((5x^2+8)^8)*80x(5x^2+8)^7

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\frac{d}{d x} (sin ((5 x^{2} + 8)^{8}))

cos ((5 x^{2} + 8)^{8}) \cdot 80 x (5 x^{2} + 8)^{7}

Solution steps

\frac{d}{d x} (sin ((5 x^{2} + 8)^{8}))

Apply the chain rule:

cos ((5 x^{2} + 8)^{8}) \frac{d}{d x} ((5 x^{2} + 8)^{8})

= cos ((5 x^{2} + 8)^{8}) \frac{d}{d x} ((5 x^{2} + 8)^{8})

\frac{d}{d x} ((5 x^{2} + 8)^{8}) = 80 x (5 x^{2} + 8)^{7}

= cos ((5 x^{2} + 8)^{8}) \cdot 80 x (5 x^{2} + 8)^{7}

What is the derivative of sin((5x^2+8^8)) ?
The derivative of sin((5x^2+8^8)) is cos((5x^2+8)^8)*80x(5x^2+8)^7
What is the first derivative of sin((5x^2+8^8)) ?
The first derivative of sin((5x^2+8^8)) is cos((5x^2+8)^8)*80x(5x^2+8)^7