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Differentiate y=e^(x)*sin(x) with respect to x

y=e^(x)*sin(x)

Use the product rule: y'=uv'+vu' y=u*v

Differentiate: u=e^(x) u'=e^(x) v=sin(x) v'=cos(x)

Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x...

Answered by Alexander J. • Maths tutor

4406 Views

Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t

x=4e^-2t, y=4-2e^2t

dy/dx = dy/dt * dt/dx

dy/dt = -4e^2t

dx/dt = -8e^-2t dt/dx = -1/8 * e^2t

dy/dx = (-4e^2t

Answered by Josh M. • Maths tutor

4999 Views

Core 1 question: Draw the graph "y = 12 - x - x^2"

I always found drawing graphs one of the hardest parts of maths - especially in C1 where you cannot use a calculator to help you. So, I used some simple rules to find key parts of the graph which would si...

Answered by Tess H. • Maths tutor

6395 Views

Solve x^2 > |5x - 6|

We need to split the problem into two cases to remove the abs sign. Case 1: 5x - 6 >= 0, equivalent to x >= 6/5. In this case the problem is now to find the values of x that satisfy x² &g...

Answered by James H. • Maths tutor

3179 Views

What is an improper fraction, and how to I make thisproper so that it can be differentiated?

An improper fraction is any fraction where the order of the constant (power of x) is equal or greater in the nuberator than the denominator, take for example;

(x²-3x-2)/(x²-3x...

Answered by Aidan S. • Maths tutor

3121 Views