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Differentiate y = lnx + 4x^2 + 3e^4x with respect to x

lnx differentiates to 1/x

4x^2 differentiates to 8x

3e^4x differentiates to 12e^4x

therefore the answer is: 1/x + 8x + 12e^4x

DS
Answered by Dhylon S. Maths tutor
4237 Views

Show that (4x – 5)^2 – 5x(3x – 8) is positive for all values of x

(4x-5)^2-5x(3x-8)

(16x^2-40x+25)-(15x^2-40x)

16x^2-15x^2-40x+40x+25

x^2+25

if x = positive, x^2 will be positive.

if x = negative, x^2 will be positive.

x^2 is po...

JM
Answered by Joseph M. Maths tutor
3862 Views

((2x + 3)/(x-4)) - ((2x-8)/(2x+1)) = 1

x=0.81

AS
Answered by Amelia S. Maths tutor
3047 Views

You are shown a diagram of a right angled triangle, with the hypotenuse labelled c and the other sides labelled a and b. If a is 7m long and c is 10m long, what is the length of b?

A simple implementation of Pythagoras' Theorem a2+b2=h2, and as in the question c is the hypotenuse, a2+b2=c2. (Side Note - in exams, the ...

WH
Answered by William H. Maths tutor
4154 Views

Solve the simultaneous equations: 2x - y = 4 and x + 2y = 7

Solve: 2x - y = 4  and x + 2y = 7

There are two methods to solve this, you can either calculate one of the variables from either equations and then substitute to the second one or try to multiply o...

EK
Answered by Eliza K. Maths tutor
15876 Views

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