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Popular >

(te^t)^'

Solution

(t e^{t})^{^{'}}

Solution

e^{t} + e^{t} t

Solution steps

(t e^{t})^{'}

Apply the Product Rule:

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

f = t, g = e^{t}

= t^{^{'}} e^{t} + (e^{t})^{^{'}} t

t^{'} = 1

(e^{t})^{'} = e^{t}

= 1 \cdot e^{t} + e^{t} t

Simplify

= e^{t} + e^{t} t

Graph

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x \to \infty lim (\frac{30}{1 + x ^{10}})

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\int \frac{cos ( 2 x ) - 1}{cos ( 2 x ) + 1} d x

integral of cos(2pix)

\int cos (2 π x) d x

derivative of (x^5-9x^2)

\frac{d}{d x} ((x^{5} - 9 x)^{2})

Frequently Asked Questions (FAQ)

What is the (te^t)^' ?
The (te^t)^' is e^t+e^tt
What is the first (te^t)^' ?
The first (te^t)^' is e^t+e^tt