en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^3+tan(sin(x)+2)

Solution

\frac{d}{d x} (x^{3} + tan (sin (x)) + 2)

Solution

3 x^{2} + sec^{2} (sin (x)) cos (x)

Solution steps

\frac{d}{d x} (x^{3} + tan (sin (x)) + 2)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (tan (sin (x))) + \frac{d}{d x} (2)

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

\frac{d}{d x} (tan (sin (x))) = sec^{2} (sin (x)) cos (x)

\frac{d}{d x} (2) = 0

= 3 x^{2} + sec^{2} (sin (x)) cos (x) + 0

Simplify

= 3 x^{2} + sec^{2} (sin (x)) cos (x)

Popular Examples

derivative of-x^2+1.8x+2.5

\frac{d}{d x} (- x^{2} + 1.8 x + 2.5)

y^{''}-y=0,y(0)=1,y^'(0)=1

y^{^{''}} - y = 0, y (0) = 1, y^{^{'}} (0) = 1

limit as x approaches 0-of ln|e^x-1|

x \to 0 - lim (ln ∣ e^{x} - 1 ∣)

derivative of 3x+x^{1/2}

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

tangent of y=(x-4)(x^2+8),(1,-27)tangent of

y = (x - 4) (x^{2} + 8), (1, - 27)

Frequently Asked Questions (FAQ)

What is the derivative of x^3+tan(sin(x)+2) ?
The derivative of x^3+tan(sin(x)+2) is 3x^2+sec^2(sin(x))cos(x)
What is the first derivative of x^3+tan(sin(x)+2) ?
The first derivative of x^3+tan(sin(x)+2) is 3x^2+sec^2(sin(x))cos(x)