en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 2e^x-5cos(x+3)

Solution

\frac{d}{d x} (2 e^{x} - 5 cos (x) + 3)

Solution

2 e^{x} + 5 sin (x)

Solution steps

\frac{d}{d x} (2 e^{x} - 5 cos (x) + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 e^{x}) - \frac{d}{d x} (5 cos (x)) + \frac{d}{d x} (3)

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

\frac{d}{d x} (5 cos (x)) = - 5 sin (x)

\frac{d}{d x} (3) = 0

= 2 e^{x} - (- 5 sin (x)) + 0

Simplify

= 2 e^{x} + 5 sin (x)

Popular Examples

derivative of 4e^x+4/(\sqrt[3]{x)}derivative of

(\partial)/(\partial x)(-6y^3+10x^2-4xy)

\frac{\partial}{\partial x} (- 6 y^{3} + 10 x^{2} - 4 x y)

area y=7-2x^2,y=x^2+4 area

y = 7 - 2 x^{2}, y = x^{2} + 4

(\partial)/(\partial x)(e^{(-x)/(x^2+y^2)})

\frac{\partial}{\partial x} (e^{\frac{- x}{x ^{2} + y ^{2}}})

derivative of-1/(t^3)derivative of

- \frac{1}{t ^{3}}

Frequently Asked Questions (FAQ)

What is the derivative of 2e^x-5cos(x+3) ?
The derivative of 2e^x-5cos(x+3) is 2e^x+5sin(x)
What is the first derivative of 2e^x-5cos(x+3) ?
The first derivative of 2e^x-5cos(x+3) is 2e^x+5sin(x)