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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)...
Step 1: Simplify the quadratic by dividing by 2. 5x2 < 32x - 12 Step 2: Move all terms onto one side of the quadratic. 5x2 - 32x + 12 < 0 Step 3: Factorise the quadratic. (5x -...
a) ask student: purpose of differentiation (i), how to perform differentiation (ii) (i) to find the gradient of a curve (ii) multiply the coefficient of x by its indice then minus one from the indici perf...
We want to "undo" every step of the equation until we have just x on one side. So first add 10 to each side and then divide both sides by 2 to give ln(2x+1) = 5. Take the exponential of each sid...
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