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Popular >

derivative of e^{{r}(t,xt})

Solution

\frac{d}{d x} (e^{r (t, x) t})

Solution

e^{r (t, x) t} t \frac{d}{d x} (r (t, x))

Solution steps

\frac{d}{d x} (e^{r (t, x) t})

Treat

t

as a constant

Apply the chain rule:

e^{r (t, x) t} \frac{d}{d x} (r (t, x) t)

= e^{r (t, x) t} \frac{d}{d x} (r (t, x) t)

\frac{d}{d x} (r (t, x) t) = t \frac{d}{d x} (r (t, x))

= e^{r (t, x) t} t \frac{d}{d x} (r (t, x))

Popular Examples

integral of (3e^{3t})/(3+e^{3t)}

\int \frac{3 e ^{3 t}}{3 + e ^{3 t}} d t

area y=((25-x^2)^{1/2}),y= 4/3 x,x=5 area

y = ((25 - x^{2})^{\frac{1}{2}}), y = \frac{4}{3} x, x = 5

derivative of ((1+x^2)/(1-x^2))^{17}derivative of

(\frac{1 + x ^{2}}{1 - x ^{2}})^{17}

(dy)/(dx)=sin(17x)

\frac{d y}{d x} = sin (17 x)

limit as x approaches 1 of (4-x)/(x-1)

x \to 1 lim (\frac{4 - x}{x - 1})

Frequently Asked Questions (FAQ)

What is the derivative of e^{{r}(t,xt}) ?
The derivative of e^{{r}(t,xt}) is e^{{r}(t,x)t}t derivative of {r}(t,x)
What is the first derivative of e^{{r}(t,xt}) ?
The first derivative of e^{{r}(t,xt}) is e^{{r}(t,x)t}t derivative of {r}(t,x)