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Differentiate(dx) xy+4y-13

As this is not in the common form and is HomogeneousStudents should be confident to understand what differentiation does.Using the quotient rule as well as implicit differentiation we look at each part of th...
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Answered by Nojus M. • Maths tutor
3487 Views

Find the turning points of the curve y=2x^3 - 3x^2 - 14.

First differentiate the equation: dy/dx = 6x^2 - 6xSet this equal to 0 as at turning points the change in gradient is 0: 0 = 6x^2 - 6x6x(x-1)=06x=0 therefore x=0(x-1)=0 therefore x=1x=1,0Now substitute back ...
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Answered by Edward R. • Maths tutor
6013 Views

y = arcsec(x), Find dy/dx.

The key to this problem is to apply sec to both sides, and then differentiate implicitly: sec(y)=x; dsec(y)/dx = 1; tan(y)sec(y)dy/dx = 1; dy/dx = 1/(tan(y)sec(y)). Then using the fact that sec(y)=x and tan ...
NY
Answered by Nicholas Y. • Maths tutor
5380 Views

When solving a trigonometric equation, like sin(x) = -1/3 for 0 ≤ x < 2π, why do I get an answer outside the range? Why are there many correct answers for the value of x?

Drawing the graphs of the trigonometric functions sin, cos &amp; tan, we can see that they all extend along the x-axis to infinity. Indeed, the sin &amp; cos functions move between 1 and -1 on the y-axis, an...
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Answered by Alexandra G. • Maths tutor
10007 Views

Find the equation of the the tangent to the curve y=x^3 - 7x + 3 at the point (1,2)

y C =x 3 - 7x + 3 ------&gt; equation of curve.y T =mx+c ----------------&gt; equation of tangent, where m is the gradient of the graph and c is the value of the y-intercept (the value of y when x=o)To find ...
MB
Answered by Matthew B. • Maths tutor
3801 Views