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Differentiate 5x^3 + 4x^2 + 5x + 9

Differentiate 5x³ + 4x² + 5x + 9The rules from polynomial differentiation: d(axⁿ) / dx= a(nx^n-1) and df/dx + dg/dx = d (f+g) /dx and dn/dx = 0Using these rules...

Answered by Annabelle S. • Maths tutor

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A curve has equation 3x^4/3-16y^3/4=32. By differentiating implicitly find dy/dx in terms of x and y. Hence find the gradient of the curve at the point (8,1).

3x^4/3-16y^3/4=32Differentiating implicitly:4x^1/3-12y^-1/4(dy/dx)=0Simplifying and rearranging:x^1/3=3y^-1/4(dy/dx)dy/dx=1/3(x^1/3y

Answered by Ben G. • Maths tutor

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How do you make f the subject of the following a = c/d + e/f

1)Multiply out the right hand side to give a common denominator: a= (Cf+de)/df2) Cross multiply to get rid of the denominator fda = cf + de3) bring all terms containing f to the same side and factorise fd...

Answered by Kwaku D. • Maths tutor

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Show the sum from n=0 to 200 of x^n given that x is not 1, is (1-x^201)/(1-x) hence find the sum of 1+2(1/2)+3(1/2)^2+...+200(1/2)^199

Let the first term of a geometric progression be 'A', define the geometric sum, which we will call 'S', of 'Ax^n' for each integer n to be the sum from n=0 to r of 'Ax^n'. Hence S=A+Ax+Ax^2+...+Ax^r. Cons...

Answered by Jordan B. • Maths tutor

2895 Views

How do i find 30% of 70?

To begin with we need to understand what a percentage is. It is simply a proportional that shows a number as parts of a hundred. So 30% is the same as saying 30/100 which can be simplified by dividing the...

Answered by Kevin R. • Maths tutor

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