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Popular >

d/(du)(u+v)

Solution

\frac{d}{d u} (u + v)

Solution

1

Solution steps

\frac{d}{d u} (u + v)

Treat

v

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d u}{d u} + \frac{d v}{d u}

\frac{d u}{d u} = 1

\frac{d v}{d u} = 0

= 1 + 0

Simplify

= 1

Popular Examples

integral of 12log_{11}(x)

\int 12 lo g_{11} (x) d x

integral of ((3-x)(5+x))/(x^4)

\int \frac{( 3 - x ) ( 5 + x )}{x ^{4}} d x

derivative of f(x)=(e^{3x})/(x^6)derivative of

f (x) = \frac{e ^{3 x}}{x ^{6}}

derivative of x^3+ax^2+bx+c

\frac{d}{d x} (x^{3} + a x^{2} + b x + c)

derivative of 5x^2*ln(x)

\frac{d}{d x} (5 x^{2} \cdot ln (x))

Frequently Asked Questions (FAQ)

What is the d/(du)(u+v) ?
The d/(du)(u+v) is 1
What is the first d/(du)(u+v) ?
The first d/(du)(u+v) is 1