What is the derivative of f(x)=(x+sqrt(2)x)(2x+1) ?

The derivative of f(x)=(x+sqrt(2)x)(2x+1) is 4x+4sqrt(2)x+1+sqrt(2)

What is the first derivative of f(x)=(x+sqrt(2)x)(2x+1) ?

The first derivative of f(x)=(x+sqrt(2)x)(2x+1) is 4x+4sqrt(2)x+1+sqrt(2)

Popular >

derivative of

f (x) = (x + 2 x) (2 x + 1)

4 x + 42 x + 1 + 2

Solution steps

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

Apply the Product Rule:

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

f = x + 2 x, g = 2 x + 1

= \frac{d}{d x} (x + 2 x) (2 x + 1) + \frac{d}{d x} (2 x + 1) (x + 2 x)

\frac{d}{d x} (x + 2 x) = 1 + 2

\frac{d}{d x} (2 x + 1) = 2

= (1 + 2) (2 x + 1) + 2 (x + 2 x)

Simplify

(1 + 2) (2 x + 1) + 2 (x + 2 x) : 4 x + 42 x + 1 + 2

= 4 x + 42 x + 1 + 2

\int \frac{( e ^{\frac{1}{x}} )}{x ^{3}} d x

\int - 2 x e^{- x^{2}} d x

\int_{1}^{4} \frac{x ^{2} + 7}{5 x - x ^{2}} d x

y^{^{'}} = e^{- y} (x^{2} - 6)

y^{^{''}} + 6 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = 3

What is the derivative of f(x)=(x+sqrt(2)x)(2x+1) ?
The derivative of f(x)=(x+sqrt(2)x)(2x+1) is 4x+4sqrt(2)x+1+sqrt(2)
What is the first derivative of f(x)=(x+sqrt(2)x)(2x+1) ?
The first derivative of f(x)=(x+sqrt(2)x)(2x+1) is 4x+4sqrt(2)x+1+sqrt(2)