What is the derivative of cos((2x^2+1)^7) ?

The derivative of cos((2x^2+1)^7) is -sin((2x^2+1)^7)*28x(2x^2+1)^6

What is the first derivative of cos((2x^2+1)^7) ?

The first derivative of cos((2x^2+1)^7) is -sin((2x^2+1)^7)*28x(2x^2+1)^6

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derivative of

cos ((2 x^{2} + 1)^{7})

- sin ((2 x^{2} + 1)^{7}) \cdot 28 x (2 x^{2} + 1)^{6}

Solution steps

\frac{d}{d x} (cos ((2 x^{2} + 1)^{7}))

Apply the chain rule:

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

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

\frac{d}{d x} ((2 x^{2} + 1)^{7}) = 28 x (2 x^{2} + 1)^{6}

= - sin ((2 x^{2} + 1)^{7}) \cdot 28 x (2 x^{2} + 1)^{6}

What is the derivative of cos((2x^2+1)^7) ?
The derivative of cos((2x^2+1)^7) is -sin((2x^2+1)^7)*28x(2x^2+1)^6
What is the first derivative of cos((2x^2+1)^7) ?
The first derivative of cos((2x^2+1)^7) is -sin((2x^2+1)^7)*28x(2x^2+1)^6