What is the derivative of sqrt(1-49x^2)arccos(7x) ?

The derivative of sqrt(1-49x^2)arccos(7x) is -(49xarccos(7x))/(sqrt(1-49x^2))-7

What is the first derivative of sqrt(1-49x^2)arccos(7x) ?

The first derivative of sqrt(1-49x^2)arccos(7x) is -(49xarccos(7x))/(sqrt(1-49x^2))-7

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derivative of

1 - 49 x^{2} arccos (7 x)

- \frac{49 x arccos ( 7 x )}{1 - 49 x ^{2}} - 7

Solution steps

\frac{d}{d x} (1 - 49 x^{2} arccos (7 x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 1 - 49 x^{2}, g = arccos (7 x)

= \frac{d}{d x} (1 - 49 x^{2}) arccos (7 x) + \frac{d}{d x} (arccos (7 x)) 1 - 49 x^{2}

\frac{d}{d x} (1 - 49 x^{2}) = - \frac{49 x}{1 - 49 x ^{2}}

\frac{d}{d x} (arccos (7 x)) = - \frac{7}{1 - 49 x ^{2}}

= (- \frac{49 x}{1 - 49 x ^{2}}) arccos (7 x) + (- \frac{7}{1 - 49 x ^{2}}) 1 - 49 x^{2}

Simplify

(- \frac{49 x}{1 - 49 x ^{2}}) arccos (7 x) + (- \frac{7}{1 - 49 x ^{2}}) 1 - 49 x^{2} : - \frac{49 x arccos ( 7 x )}{1 - 49 x ^{2}} - 7

= - \frac{49 x arccos ( 7 x )}{1 - 49 x ^{2}} - 7

x \to 2 lim (7 (x) + 10)

f (x) = x^{\frac{4}{5}}

\int cos^{4} (7 x + 9) d x

\int_{- \infty}^{0} e^{8 x} d x

\frac{\partial}{\partial y} (4 x z sin (y))

What is the derivative of sqrt(1-49x^2)arccos(7x) ?
The derivative of sqrt(1-49x^2)arccos(7x) is -(49xarccos(7x))/(sqrt(1-49x^2))-7
What is the first derivative of sqrt(1-49x^2)arccos(7x) ?
The first derivative of sqrt(1-49x^2)arccos(7x) is -(49xarccos(7x))/(sqrt(1-49x^2))-7