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How would I use implicit differentiation to differentiate functions such as: y=tan^-1(ax^2+b) in the form of dy/dx=.....?

First you must write the function in terms on something you know how to differentiate, for example... by taking tan (..) of both sides the equation becomes, tan(y)= ax 2 +b. We then use implicit differentiat...
CS
Answered by Charles S. • Maths tutor
6211 Views

A curve has parametric equations x=2t, y=t^2. Find the Cartesian equation of the curve.

x=2t --> t= x/2 y=t 2 = (x/2) 2 . So the Cartesian equation is y=x 2 /4.
KW
Answered by Katarzyna W. • Maths tutor
15749 Views

Solve 3x+7=1.

3x+7 = 1. We can describe this equation as a stroy. First x was multiplied by 3 and then 7 was added to it to get 1. Now we need to reverse the story. last thing done was +7, so reversing it gives us -7. 1 -...
KW
Answered by Katarzyna W. • Maths tutor
26659 Views

Factorise and solve x^2-8x+15=0

(x-5)(x-3)=0 x-5=0 x-3=0 x=5 x=3
PL
Answered by Peter L. • Maths tutor
3397 Views

Find dy/dx for y=x^2 * sin(x)

To answer this question we observe that y is the product of x^2 and sin(x), so we use the product rule. Then dy/dx = 2x * sin(x) + cos(x) * x^2 The resulting equation can be tidied up by factoring out x and ...
JH
Answered by Jake H. • Maths tutor
8825 Views