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Popular >

derivative of cos((8x^2+9^5))

Solution

\frac{d}{d x} (cos ((8 x^{2} + 9)^{5}))

Solution

- sin ((8 x^{2} + 9)^{5}) \cdot 80 x (8 x^{2} + 9)^{4}

Solution steps

\frac{d}{d x} (cos ((8 x^{2} + 9)^{5}))

Apply the chain rule:

- sin ((8 x^{2} + 9)^{5}) \frac{d}{d x} ((8 x^{2} + 9)^{5})

= - sin ((8 x^{2} + 9)^{5}) \frac{d}{d x} ((8 x^{2} + 9)^{5})

\frac{d}{d x} ((8 x^{2} + 9)^{5}) = 80 x (8 x^{2} + 9)^{4}

= - sin ((8 x^{2} + 9)^{5}) \cdot 80 x (8 x^{2} + 9)^{4}

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Frequently Asked Questions (FAQ)

What is the derivative of cos((8x^2+9^5)) ?
The derivative of cos((8x^2+9^5)) is -sin((8x^2+9)^5)*80x(8x^2+9)^4
What is the first derivative of cos((8x^2+9^5)) ?
The first derivative of cos((8x^2+9^5)) is -sin((8x^2+9)^5)*80x(8x^2+9)^4