What is the derivative of (1-sin(x)^3) ?

The derivative of (1-sin(x)^3) is -3cos(x)(1-sin(x))^2

What is the first derivative of (1-sin(x)^3) ?

The first derivative of (1-sin(x)^3) is -3cos(x)(1-sin(x))^2

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\frac{d}{d x} ((1 - sin (x))^{3})

- 3 cos (x) (1 - sin (x))^{2}

Solution steps

\frac{d}{d x} ((1 - sin (x))^{3})

Apply the chain rule:

3 (1 - sin (x))^{2} \frac{d}{d x} (1 - sin (x))

= 3 (1 - sin (x))^{2} \frac{d}{d x} (1 - sin (x))

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

= 3 (1 - sin (x))^{2} (- cos (x))

Simplify

= - 3 cos (x) (1 - sin (x))^{2}

\int \frac{x}{e ^{- x}} d x

\frac{d}{d x} (2 x^{2} - 3 x + 1)

- (x - 3)^{3}, 1

h \to 0 lim \frac{( ( 1 + h ) e ^{(1 + h)^{2}} - 3 )}{h}

f (x) = 5 x^{3}

What is the derivative of (1-sin(x)^3) ?
The derivative of (1-sin(x)^3) is -3cos(x)(1-sin(x))^2
What is the first derivative of (1-sin(x)^3) ?
The first derivative of (1-sin(x)^3) is -3cos(x)(1-sin(x))^2