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Solve inequality: sqrt(x^2) + x < 1

There are two possible solutions, substitution and using absolute value. Here, we will use absolute value method.By definition of square root we get: sqrt(x^2) = |x|. By definition of absolute value we get:|...
RF
Answered by Robert F. • Maths tutor
8856 Views

Given f(x) = 7(e^2x) * (sin(3x)), find f'(x)

f(x) = 7e 2x sin(3x) Chain rule: f(x) = uv → f'(x) = u'v + uv' u = 7e 2x u' = 14e 2x v = sin(3x) v' = 3cos(3x) f'(x) = 14e 2x sin(3x) + 7e 2x 3cos(3x) f'(x) = 7e 2x ( 2 sin (3x) + 3 cos (3x) )
CK
Answered by Chris K. • Maths tutor
4452 Views

Differentiate y=x^3+ 7x-ln(2)

Dy/dx=3x 2 +7
SJ
Answered by Shrey J. • Maths tutor
3556 Views

How do i find dy/dx in terms of t for two parametric equations that are in terms of t.

To differentiate parametric equations we have to use the chain rule in a special way. We know that the chain rule can be written as dy/dx = dy/dt * dt/dx, as both dts cancel. But if we have an equation x in ...
BW
Answered by Ben W. • Maths tutor
6070 Views

z = 5 - 3i Find z^2 in a form of a + bi, where a and b are real constants

z^2 = (5-3i) = 25 - 30i + 9i^2Since i^2 = -1 =&gt; z^2 = 16-30i
AM
Answered by Adam M. • Maths tutor
3320 Views