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Popular >

d/(d{x)}({y}{z}e^{{x}{z}})

Solution

\frac{d}{d x} (y z e^{x z})

Solution

e^{x z} y z^{2}

Solution steps

\frac{d}{d x} (y z e^{x z})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= y z \frac{d}{d x} (e^{x z})

Apply the chain rule:

e^{x z} \frac{d}{d x} (x z)

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

\frac{d}{d x} (x z) = z

= y z e^{x z} z

Simplify

y z e^{x z} z : e^{x z} y z^{2}

= e^{x z} y z^{2}

Popular Examples

derivative of arcsin(4x^5)

\frac{d}{d x} (arcsin (4 x^{5}))

implicit (dy)/(dx),9sin(x)+cos(y)=sin(x)cos(y)implicit derivative

\frac{d y}{d x}, 9 sin (x) + cos (y) = sin (x) cos (y)

integral from 0 to 1 of xe^{10x}

\int_{0}^{1} x e^{10 x} d x

y^{''}-4y^'+2y=e^{-t},y(0)=0,y^'(0)=1

y^{^{''}} - 4 y^{^{'}} + 2 y = e^{- t}, y (0) = 0, y^{^{'}} (0) = 1

derivative of f(x)=x^2[0.2]derivative of

f (x) = x^{2} [0.2]

Frequently Asked Questions (FAQ)

What is the d/(d{x)}({y}{z}e^{{x}{z}}) ?
The d/(d{x)}({y}{z}e^{{x}{z}}) is e^{{x}{z}}{y}{z}^2
What is the first d/(d{x)}({y}{z}e^{{x}{z}}) ?
The first d/(d{x)}({y}{z}e^{{x}{z}}) is e^{{x}{z}}{y}{z}^2