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(Solved): Differentiate the following functions with respect to x. Use * to show variables multiplying trigono ...



Differentiate the following functions with respect to

x

. Use * to show variables multiplying trigonometric functions such as

y^(**)sin(x)

to represent

ysin(x)

Use brackets to denote arguments of sinusoidal terms such as

cos(4x)

to represent

cos(4x)

as opposed to

cos4x

e^(2x)

is entered as

e^(2x)

not as

e^(2)x

which would give

e^(2)x

. a) Use the quotient rule to differentiate

y=(8x^(5)+5x)/(6x+5) (dy)/(dx)=

b) Use the chain rule to differentiate

y=4cos(x^(3)-5) (dy)/(dx)=

c) Select an appropriate rule to differentiate

y=(5x^(3)-7e^(-3x))sin(5x) (dy)/(dx)=


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