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y = 4(x^3) + 7x ... Find dy/dx

This is a simple differentiation question. To start, you need to know the general method of differentiation. This is:
if y = Axb then dy/dx = (A*b)x

Answered by Emilio E. • Maths tutor

3262 Views

ABCD is a rhombus on a graph. B(7,10). AC: y=7-4x. Find an equation for DB in the form tx+py+r=0 where t,p&r are integers.

AC and DB must be perpendicular therefore m₁m₂ = -1. (we can work out the gradient of DB)-4m₂ = -1 -----> m₂ = 1/4The equation of a line is y-y_...

Answered by Alexander L. • Maths tutor

2637 Views

Given that A(sin θ + cos θ) + B(cos θ − sin θ) ≡ 4 sin θ, find the values of the constants A and B.

Since this must be true for all values of θ, and cos and sin are distinct functions, no non-zero multiple of cosθ could ever be equal to 4 sinθ for all values of θ. Therefore, the overall multiple of cosθ...

Answered by David B. • Maths tutor

7583 Views

Find the derivative with respect to x, of 5cos(x)+ 4sin(x)

f(x) = 5cos(x) + 4sin(x)to find f^,(x) this is just another notation for the derivative.To differentiate trigonometry I always use this one simple trick which I will show on th...

Answered by Ryan P. • Maths tutor

3951 Views

Solve the inequality x^2 - 9 > 0

This is a quadratic inequality, because we have an x² term, so we answer this question by examining the graph of the associated equation y = x² - 9, and then find out where this grap...

Answered by Rose H. • Maths tutor

15340 Views