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Core 3 Differentiation: If y = (3x^2 + 2x + 5)^10, find its derivative, dy/dx. Hint: Use the chain rule.

The function y = (3x 2 +2x+5) 10 is an example of a "function within a function", which means the thing in the brackets is a function itself, and it's being raised to the power of 10. This is a str...
Answered by • Maths tutor
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The equation of line 1 is: 3y-5x+3=0. The equation of line 2 is : y= 5x/3+9. Check whether the 2 lines intercept.

Rearranging the first equation: 3y=5x-3Then dividing by 3 so that the equation of the line will become in the form of y=mx+c, where m is the gradient and c is the interception point with the y-axis (0,c)We g...
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Answered by Panagiotis G. • Maths tutor
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Expand the brackets in the following expression and indicate what the graph would look like: y=(5x+1)(2x-3)

While this question is not in the style the examiners would ask, it demonstrates two important principles: how to expand brackets accurately and how to build intuition about the shape of graphs. Answer: y = ...
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Answered by Edward E. • Maths tutor
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Find X log(x)=4 Base 10

Log base 10log(x)=4 ~ 10 4 =xx=10000
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Solve the simultaneous equations y+4x+1 = 0 and y^2+5x^2+2x = 0

x = -1/3 and y = 1/3 or x = -1/7 and y = -3/7
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Answered by Mustafa Q. • Maths tutor
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