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Popular >

derivative of sin(-1(6x+1))

Solution

derivative of

sin (- 1 (6 x + 1))

Solution

- cos (1 + 6 x) \cdot 6

Solution steps

\frac{d}{d x} (sin (- 1 \cdot (6 x + 1)))

Simplify

sin (- 1 \cdot (6 x + 1)) : - sin (1 + 6 x)

= \frac{d}{d x} (- sin (1 + 6 x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{d}{d x} (sin (1 + 6 x))

Apply the chain rule:

cos (1 + 6 x) \frac{d}{d x} (1 + 6 x)

= cos (1 + 6 x) \frac{d}{d x} (1 + 6 x)

\frac{d}{d x} (1 + 6 x) = 6

= - cos (1 + 6 x) \cdot 6

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\frac{2}{s ( s + 2 )}

integral of (cos(x))/((sin(x))^3)

\int \frac{cos ( x )}{( sin ( x ) ) ^{3}} d x

limit as x approaches-7+of ((-6x))/(x+7)

x \to - 7 + lim (\frac{( - 6 x )}{x + 7})

(d^2)/(dx^2)(ln(x^2+1))

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

y^{''}+6y^'+9y=6cos(t)+8sin(t)

y^{^{''}} + 6 y^{^{'}} + 9 y = 6 cos (t) + 8 sin (t)

Frequently Asked Questions (FAQ)

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