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Differentiate: y = xsin(x)

This is a function which is in the form, 

y = f(x)g(x)

It's the product of two functions and so we must make use of the product rule. This i...

OR
Answered by Oliver R. Maths tutor
89721 Views

Differentiate x^2

To differentiate x^2

Step 1) whatever the number on the power, put that in front of x. 

Step 2) Then minus one (-1)  from the power

Therefore, by putting the n...

AM
Answered by Anjana M. Maths tutor
4372 Views

Solve this pair of simultaneous equations to find x and y

(1) 2x - 5y = 11(2) 3x + 2y = 7-----------------------Multiply equation (1) by 3 & Multiply equation (2) by 2 to give equal values for x:(3) 6x - 15y = 33(4) 6x + 4y = 14-----------------------Take eq...

JB
Answered by James B. Maths tutor
4496 Views

Find the equation of the straight line which passes through the point (0, 3) and is perpendicular to the straight line with equation y = 2x.

We know that a straight line has a general formula: y = mx+c, where m is the gradient of the line and c is the y-intercept; so, we are looking to find m and c. 

The line passes through th...

FM
Answered by Flavian M. Maths tutor
21555 Views

Integrate (x^3 - x^2 - 5x + 7) with respect to x.

Remember to integrate you +1 to the power and divide by the new power:(x3+1/3+1) - (x2+1/2+1) - 5(x1+1/1+1) + 7(x0+1/0+1) + CDONT FORGET YOUR CONSTANTx4

NL
Answered by Nathan L. Maths tutor
5367 Views

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