find the equation of the tangent to the curve y=2x^3+3 at the point where x= -2
know to differentiate to find the gradient of the tangent: y=2x3+3, dy/dx= 6x2When x=-2, dy/dx= 24When x=-2, y=2(-2)3+3, y= -13equation of a tangent is y=mx+c, where y=-13, x=-2 and m=24. Evaluate for c: -13=24(-2)+c, -13=-48+c, -13+48=c, c=35equation of the tangent: y=24x+35
DH
Related Maths GCSE answers
All answers ▸To make 12 cakes you need 100g of butter, 6 eggs, and 40g of sugar. How many cakes can you make with 450g of butter, 15 eggs, and 110g of sugar?
Clare buys some shares for $50x. Later, she sells the shares for $(600 + 5x). She makes a profit of x% (a) Show that x^2 + 90x − 1200 = 0
A group of 55 students were asked if they had a cat or a dog. 11 were known to own both, 18 said they owned only a dog, and 34 said they owned at least a cat. Give the probability that a student has neither as a fraction in its simplest form.
Bob earns £7.70 an hour, and he works 30 hours per week. If Bob has 28 days of unpaid holidays to take, how much does he earn in a year? Also will he be taxed? (Bob will be taxed if he earns over £10000 in one year)