What is the derivative of cos(5x^2+7x-1) ?

The derivative of cos(5x^2+7x-1) is -sin(5x^2+7x-1)(10x+7)

What is the first derivative of cos(5x^2+7x-1) ?

The first derivative of cos(5x^2+7x-1) is -sin(5x^2+7x-1)(10x+7)

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\frac{d}{d x} (cos (5 x^{2} + 7 x - 1))

- sin (5 x^{2} + 7 x - 1) (10 x + 7)

Solution steps

\frac{d}{d x} (cos (5 x^{2} + 7 x - 1))

Apply the chain rule:

- sin (5 x^{2} + 7 x - 1) \frac{d}{d x} (5 x^{2} + 7 x - 1)

= - sin (5 x^{2} + 7 x - 1) \frac{d}{d x} (5 x^{2} + 7 x - 1)

\frac{d}{d x} (5 x^{2} + 7 x - 1) = 10 x + 7

= - sin (5 x^{2} + 7 x - 1) (10 x + 7)

2 x \cdot cos (x^{2})

\int \frac{1}{1 0 ^{x}} d x

\int \frac{x ^{4}}{3355} d x

y^{^{''}} + 2 y^{^{'}} - 3 y = e^{- x}

y = \frac{e ^{x}}{x ^{2}}

What is the derivative of cos(5x^2+7x-1) ?
The derivative of cos(5x^2+7x-1) is -sin(5x^2+7x-1)(10x+7)
What is the first derivative of cos(5x^2+7x-1) ?
The first derivative of cos(5x^2+7x-1) is -sin(5x^2+7x-1)(10x+7)