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Find the equation of the tangent to the curve y = 4x^2 (x+3)^5 at the point (-1, 128).

y = 4x 2 (x+3) 5 . Use the product rule to find the first derivative of the curve, 8x(x+3) 5 + 20x 2 (x+3) 4 , and substitute x = -1 to find the gradient at the point (-1, 128). This should be 64. Now substi...
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Answered by Jack G. • Maths tutor
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Describe the key stages of landform change in the formation of a stump. Referring to process of weathering and erosion in your answer. (6/8 marks)

At a high energy coastline, with resistant coastal geology, a crack may form in the cliff at an area of weakness in the rock. As wave energy causes erosion through hydraulic action, as air is forced into cra...
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Answered by Sam W. • Geography tutor
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How do I use the product rule for differentiation?

You should use the product rule when you have a function f(x), which you can't differentiate straight away. But which can be written in the form f(x)=g(x)h(x), where g(x) and h(x) are functions that you do k...
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Answered by Harry V. • Maths tutor
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"La piscine est située devant le club de jeunesse et derrière le phare". What directions have you been given?

La piscine is the subject and means "the pool" est is the verb and means to be, so in this phrase it means "is"devant and derrière are locations, they mean in front of and behind So the p...
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Answered by Sara C. • French tutor
3254 Views

Describe the role of calcium ions and ATP during muscle contraction

Calcium ions diffuse from the sarcoplasmic reticulum and bind to troponin. This binding to troponin causes tropomyosin- which at rest blocks the actin-myosin binding sites- moves to expose these binding site...
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Answered by Johanna H. • Biology tutor
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