Discuss on the forum. But do not submit. Find /dx (x^2 y)
where = g(x)
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Find /dx (sin y+y cos x)
where = g(x)
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Find y/dx
by implicit differentiation. oot(x)-root(y) = 8
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Find x/dt
by implicit differentiation. -root(t) = t x
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Find y/dx
by implicit differentiation. oot (x y)+x y^2 = 4
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Find y/dx |_(x = 3, y = 2)
by implicit differentiation of ^4+y^4 = 97
. What is the geometric meaning of y/dx |_(x = 3, y = 2)
?
Find an equation of the tangent line to the circle: ^2+y^2 = 25
at the point -3, 4)
. Then graph the line together with the circle. In order to graph equations, you need to solve them for http://calculus.sfsu.edu/latexrender?src=%5Cbegin%7Bdisplaymath%7D+%5Ctextstyle%7By%7D+%5Cend%7Bdisplaymath%7D&type=png&size=15
. To graph ^2+y^2 = 25
, plot = root (25-x^2)
and =-root (25-x^2)
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Find an equation of the tangent line to the astroid: x^(2))^(1/3)+(y^(2))^(1/3) = 4
at the point -3 root(3),1)
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ttp://calculus.sfsu.edu/latexrender/pictures/824746d028384b64bd93ba0a49a8ec7a.png
Find an equation of the tangent line to the hyperbola: ^(2)-2 y^(2) = 1
at the point a,b)
.
ttp://calculus.sfsu.edu/latexrender/pictures/4e5fc4c5dda366a7e6e1205ecd4b5724.png
Do not submit but please discuss it .You may earn valuable participation points. Using the theorem about the derivative of an inverse, show that for positive integers http://calculus.sfsu.edu/latexrender?src=%5Cbegin%7Bdisplaymath%7D+%5Ctextstyle%7Bm%7D+%5Cend%7Bdisplaymath%7D&type=png&size=15
and > 0
, (x)^(1/m))' = 1/m x^(1/m-1).
Do not submit but please discuss it Nairobi and Rio are located on the Tropic of Capricorn. On December 21, that is on the day of the Solstice at midday the Sun is vertical. How fast is the shadow of a pole 3 meters tall increasing at (a) midday, (b) at dusk?