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Find the value of: d/dx(x^2*sin(x))

Use the product rule:

d/dx(fg) = f'g + fg'

f = x² f' = 2x g = sin(x) g' = cos(x)

answer = 2xsin(x) + x²cos(x)

Answered by Will R. • Maths tutor

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Differentiate artanh(x) with respect to x

First we set y=artanh(x). Then we rearrange such that tanh(y)=x. There several approaches to find dy/dx, but the quickest is to use implicit differentiation.

The differential of tanh(y) is sech

Answered by Sam H. • Further Mathematics tutor

13073 Views

Describe briefly the role of tRNA and mRNA in the translation process

mRNA is produced from the transcription of DNA in the nucleus. Afte splicing has occured to remove non coding introns from the pre-mRNA, the mRNA leaves the nucleus via nuclear pores. Moving to a ribosome...

Answered by Harry M. • Biology tutor

14798 Views

Find the equation for the tangent to the curve y^3 + x^3 + 3x^2 + 2y + 8 = 0 at the point (2,1)

As the tangent has the same gradient as the curve at the particular point, we need to find the gradient of the curve. To find the gradient we need to differentiate. Due to there being two variables in thi...

Answered by Aphishek E. • Maths tutor

4397 Views