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Find dy/dx for y=5x^3−2x^2+7x−15

'Find dy/dx' means it wants us to differentiate. The rules for this are multiply the coefficient (number before x) by the current power, then decrease the power by 1.In this example:5x 3 would become 15x 2 ,...
GS
Answered by Georgia S. • Maths tutor
7050 Views

y= arcos(x). Find dy/dx in terms of x.

Rearrange the expression to create a familiar function with a known differencial: arcos(x)=y x= cos(y) Differenciate x with respect to y: dx/dy= -sin(y) We know that dy/dx= 1/(dx/dy), so rearange to find an ...
DK
Answered by Danyal K. • Maths tutor
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Solve the simultaneous equations. 2x + y = 18, x−y=6

In this question, we are going to find the values of x and y from the equations above. To start off, we will number the equations:(1): 2x+y=18(2): x-y=6now we will add (1) to (2) as that will get ride of the...
RR
Answered by Ruby R. • Maths tutor
4431 Views

What is a good rule to find angles in a right angled triangle?

In any right angled triangle , for any angle:The sine of the angle = the length of the opposite side the length of the hypotenuseThe cosine of the angle = the length of the adjacent side the length of the hy...
SF
Answered by Shirley F. • Maths tutor
3452 Views

2x + y = 18; x−y=6

This is an an example of simultaneous equations, no single equation can give us the answer. Were going to use the substitution method. We will call this equation 1: 2x + y = 18, and this equation 2: x-y=6. A...
TA
Answered by Tamara A. • Maths tutor
4602 Views