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T9 Q27 Implicit Differentiations SM015

T9 Q27 Implicit Differentiations SM015

A curve with an equation x^2+y^2+ay=b where a and b are constant. (a) Find dy/dx. (b) If the slope at point (1,3) is -1/2, find a and ...

T9 Q24 Implicit Differentiations SM015

T9 Q24 Implicit Differentiations SM015

If xy=2(x-y)^2 find the following values at the point (1, 2). (a) dy/dx (b) d^2/dx^2.

T9 Q25 [Show] Implicit Differentiation SM015

T9 Q25 [Show] Implicit Differentiation SM015

Given x^2+y^2=2y, find dy/dx. Show that d2y/dx2=1/(1-y)^3. Hence, express in term of y for 2/x(dy/dx)^3-x^2d2y/dx2.

T9 Q11c Implicit Differentiations SM015

T9 Q11c Implicit Differentiations SM015

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T9 Q17 [Show] Implicit Differentiation SM015 [OPY9 Q3 2002/2003]

T9 Q17 [Show] Implicit Differentiation SM015 [OPY9 Q3 2002/2003]

Given y=x^lnx. By taking logarithm, find dy/dx. Hence, show that x^2y''-x(2lnx-1)y'-2y=0.

T9 Q15 Implicit Differentiations SM015

T9 Q15 Implicit Differentiations SM015

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T9 Q11a Implicit Differentiations SM015

T9 Q11a Implicit Differentiations SM015

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Implicit Differentiation

Implicit Differentiation

We are pretty good at taking derivatives now, but we usually take derivatives of functions that are in terms of a single variable.

T9 Q13 Implicit Differentiations SM015

T9 Q13 Implicit Differentiations SM015

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SM015 Mathematics. 9.4 Implicit Differentiations

SM015 Mathematics. 9.4 Implicit Differentiations

Read more details and related context about SM015 Mathematics. 9.4 Implicit Differentiations.