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Differentiate the following: y = 3x^(1/3) + 2

Answer: dy/dx = x -2/3 Explanation: When differentiating, we bring the power to the front and subtract 1 from the power to get the new power. So the first term becomes (3 x 1/3)x (1/3 - 1) = x -2/3 . Also, a...
SS
Answered by Scarlett S. • Maths tutor
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Find the intergral of 2x^5 - 1/4x^3 - 5 with respect to x.

2x 5 - 1/4x 3 - 5 can be intergrated by intergrating each term seperately and then remembering to add a constant to your new answer. Therefore the correct answer would be x 6 /3 + 1/8x 2 - 5x + c. This has b...
GH
Answered by George H. • Maths tutor
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differentiate y=8x^3 - 4*x^(1/2) + (3x^2 + 2)/x

y= 24x^2 - 2x^(-1/2) + 3 - 2x^-2
AM
Answered by Abubakar M. • Maths tutor
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Given a function f(x)=3x^2+5x-1, find its derivative.

Derivative of 3x^2 is 3*(derivative of x^2) which is 3*(2x)=6x. Derivative of 5x is 5*(Derivative of x) which is 5*1=5 and derivative of (-1) is 0. Hence the answer is derivative of f(x) defined above is 6x+5.
CF
Answered by Carla F. • Maths tutor
8319 Views

Find the equation of the straight line passing through the origin that is tangent to the curve y = ln(x).

Firstly, recognise the relevant equations. The two functions are y = mx and y = ln(x). As the straight line is a tangent, we know that at a certain point x 0 , the functions and their gradients are equal. Th...
PS
Answered by Paul S. • Maths tutor
7987 Views