What is the derivative of 4x^2y+1 ?

The derivative of 4x^2y+1 is 8xy

What is the first derivative of 4x^2y+1 ?

The first derivative of 4x^2y+1 is 8xy

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derivative of

4 x^{2} y + 1

8 x y

Solution steps

\frac{d}{d x} (4 x^{2} y + 1)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{2} y) + \frac{d}{d x} (1)

\frac{d}{d x} (4 x^{2} y) = 8 y x

\frac{d}{d x} (1) = 0

= 8 y x + 0

Simplify

= 8 x y

3^{5 x^{2}}

\frac{d}{d t} (20 sin (2 t - 3 x))

y = 3 x^{7}

2 y^{2} + 1

\frac{d}{d t} (a (cos (t) + lo g_{10} (\frac{tan ( t )}{2})))

What is the derivative of 4x^2y+1 ?
The derivative of 4x^2y+1 is 8xy
What is the first derivative of 4x^2y+1 ?
The first derivative of 4x^2y+1 is 8xy