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dy/dx = 2x -2 -12x^(-1/2)
First expand (b-4)(b+5) b2-4b+5b-4*5Simplifyb2+b-20
First multiply the brackets to get: (2x2 - 6x + x - 3), Simplify to get: (2x2 - 5x - 3), This is then all multiplied by x to get: 2x3- 5x2 - 3x.
We first differentiate f(x), and we get f'(x)=2x + 5. We then set this equal to 0 and then solve for x. We get that xmin= -2.5. We check whether this was indeed a minimum, by calculating the second deriva...
Figure out what skills are being tested: implicit differentiation and exponentials and logarithms.e2y = 5 - e-x2e2y(dy/dx) = e-x(dy/dx) = e-x/ 2eTCAnswered by Theodore C. • Maths tutor3825 Views
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