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Given f(x) = 7(e^2x) * (sin(3x)), find f'(x)

f(x) = 7e 2x sin(3x) Chain rule: f(x) = uv → f'(x) = u'v + uv' u = 7e 2x u' = 14e 2x v = sin(3x) v' = 3cos(3x) f'(x) = 14e 2x sin(3x) + 7e 2x 3cos(3x) f'(x) = 7e 2x ( 2 sin (3x) + 3 cos (3x) )
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Answered by Chris K. • Maths tutor
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Explain how Pumped-storage hydropower (PSH) can store energy.

The system consists of 2 reservoirs at different elevations, where the water can flow between them but through a hydroelectric power station. The higher elevation reservoir releases its water at higher energ...
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Answered by Chris K. • Physics tutor
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State two reasons why corrugated cardboard is used as packaging for cooked pizzas.

Strength to weight ratio so easy to carry but can support pizza2) Low cost in comparison to other packaging so is cost effective for cheap pizzasExtras:3) Can be printed on so businesses can display logos an...
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Name 3 features of plant root cells and how they allow the cells to absorb ions from the soil

Many mitochondria - production of ATP during aerobic respiration which allows active transport to take place for uptake of ions Many root hairs - Increases surface area for maximum diffusion Large store of s...
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Answered by Caroline D. • Biology tutor
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Differentiate y=x^3+ 7x-ln(2)

Dy/dx=3x 2 +7
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Answered by Shrey J. • Maths tutor
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