What is the derivative of x^3b^5+y^4b+z^6 ?

The derivative of x^3b^5+y^4b+z^6 is 3b^5x^2

What is the first derivative of x^3b^5+y^4b+z^6 ?

The first derivative of x^3b^5+y^4b+z^6 is 3b^5x^2

derivative of

x^{3} b^{5} + y^{4} b + z^{6}

3 b^{5} x^{2}

Solution steps

\frac{d}{d x} (x^{3} b^{5} + y^{4} b + z^{6})

Treat

b, y, z

as constants

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3} b^{5}) + \frac{d}{d x} (y^{4} b) + \frac{d}{d x} (z^{6})

\frac{d}{d x} (x^{3} b^{5}) = 3 b^{5} x^{2}

\frac{d}{d x} (y^{4} b) = 0

\frac{d}{d x} (z^{6}) = 0

= 3 b^{5} x^{2} + 0 + 0

Simplify

= 3 b^{5} x^{2}

\int_{0}^{10} 100 e^{0.1 x} d x

y^{^{''}} - 2 y^{^{'}} - 3 y = - 3 x e^{- x}

x \to 0 lim (x^{3} cos (\frac{1}{x}))

t an g e n t - 5 x^{\frac{1}{2}} + x^{\frac{3}{2}}

d er i v a t i v e f (x) = xx

What is the derivative of x^3b^5+y^4b+z^6 ?
The derivative of x^3b^5+y^4b+z^6 is 3b^5x^2
What is the first derivative of x^3b^5+y^4b+z^6 ?
The first derivative of x^3b^5+y^4b+z^6 is 3b^5x^2