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We know the rule for differentiation is, multiply by the power reduce the power by one.
Although having several parts this looks confusing we just need to break it down.
4x^3 differentiates to 1...

a) the triangle is isosceles so the two missing angles must be identical. all angles in a triangle add up to 180. therefore, 180-40=140 140/2 = 70* = xb) this triangle has two angles given already, so the...

y = 2 x^-3 simpler to differentiate in this form dy/dx = (-3)(2 x^-4) multiply by power out the front and subtract one from the powerdy/dx = -6/x⁴ simplified version of abov...

y = x² + ax + bWhen x=1:47 = (1)² + a(1) + b47 = 1 + a + b46 = a + bWhen x = 260 = (2)² + a(2) + b60 = 4 + 2a + b56 = 2a + b Let this be equation 1Let 46 = a + b be equati...

e^x= t+3 t= e^x -3therefore y= 1/e^x-3+5y= 1/e^x+2