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Find the equation of the tangent to the curve y = (2x -3)^3 at the point (1, - 1), giving your answer in the form y = mx + c.

y = (2x -3)^3 y = (2x)^3 + 3.((2x)^2)(-3) + 3.(2x).(-3)^2 + (-3)^2 using Pascal's Triangle. y = 8x^3 - 36x^2 + 54x - 27 dy/dx = 24x^2 - 72x + 54 at point (1,-1); dy/dx = 24 -72 + 54 = 6 Therefore tangent lin...
RS
Answered by Robert S. • Maths tutor
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How do I prepare for and write an essay on an unseen poem?

The best preparation for essays on unseen poems is knowing a list of key literary devices and themes that you should be on the lookout for as you get to know the poem in front of you. Because you won't have ...
TD
6781 Views

Find the first derivative of y=2^x

There is an initial subtle difficulty to this question, and it highlights understanding of the relationship between natural logarithms and the exponential function. One of the ways to solve this question, is...
AM
Answered by Alex M. • Maths tutor
5120 Views

When talking or writing in the past tense, when should the preterite and when should the imperfect be used?

In Spanish, there are two past tenses; the preterite and the imperfect. The preterite tense is used to describe a definitive, one-time action that has taken place and ended. For example, 'yesterday we ate ap...
JK
Answered by Jamie K. • Spanish tutor
2783 Views

How do you differentiate between the perfect tense and the imperfect tense?

The perfect tense is used for completed actions in the past, or for actions in the past that have an impact on the present. It can translate to the English perfect tense, but also the English preterite. For ...
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Answered by Ian J. • French tutor
2341 Views