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(3*4)(4x+9)^(3-1)

Where 4 is the derivative of inside the brackets and 3 is the power of the brackets.

Therefore the answer is 12(4x+9)^2

(a) For part a, simply add the real terms together and the imaginary terms together. z₁+z₂ = (3+2i)+(4-i) = 7+i b).     

(b) For part b, multiply the brackets out, remembering...

First you have to identify the equation for y is a product. Then you can apply the product rule using (4x+1)^3 as one term and sin2x as the other. First you differentiate (4x+1)^3 using the chain rule. Yo...

Using the product rule: d/dx(ab)=ab’ + a’b where a and b are variables which have been differentiated with respect to x

Derivative: 2(x^2(dy/dx)+2xy) + 2 + 4dy/dx+πsin(πy)...