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Unlike a straight line, the gradient of a curve is not a constant i.e. not one single number. To find the gradient of a curve, you different the equation of the curve. To find the gradient at a specific p...

First, we choose u=sin(x),v'=exp(x). Using differentiation and integration of standard exponential and trigonometric functions => u'=cos(x),v=exp(x). From this we use the formula for integration by par...

Differentiate by multiply by the power and then minus 1 from the power. Use the rule: y= ax^b -> dy/dx = abx^(b-1)

dy/dx = 3 x 2x^(3-1) + -1 x 2x^(-1-1) + 0 dy/dx = 6x^2 - 2x^-2

Using indices rules: y^a x y^b = y^(a+b), y^a / y^b = y^(a-b) Simplifying the numerator: b^6 x b^2 = b^(6+2) = b^8 Simplifying the whole fraction: b^8 / b^4 = b^(8-4) = b^4 Fully simplified answer is b^...

Shop A-> Total Price = 30 plants x £2.49 =£74.70 Shop B-> VAT = 20% = 0.2 VAT = 0.2 x £58 = £11.60 Total Price = £11.60 + £58 = £69.60 OR

Total price = 1.2 x £58 = £69.60

Therefore Jes...