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f(x)=2x^3 +3x^2 -36x+7 (1a) find the...

f(x)=2x^3 +3x^2 -36x+7

(1a) find the stationary points of this function

(bi) using the first derivative test classify the left-hand stationary point found in part a

(bii) using the second derivative test classify the right-hand stationary point in a

(c) find the y-coordinate of each of the stationary points on the graph of the function f(x), and also evaluate f(0). Hence draw a rough sketch of the graph of the function f(x)

(2a) derivative of f(x)=e^3x

Derivative of g(x)=cos(9x)

Differentiate using product rule k(x)=e^3x cos(9x)

(2b) derivative of f(t)=root of t (t>0)

derivative of g(t)=In(4t) (t>0)

differentiate using the quotient rule k(t)=root of t over In(4t) (t>1/4)

(2c) derivative of f(x)=x^4 +1

differentiate using composite rule k(x)=sin(x^4 +1)

(1a) find the stationary points of this function

(bi) using the first derivative test classify the left-hand stationary point found in part a

(bii) using the second derivative test classify the right-hand stationary point in a

(c) find the y-coordinate of each of the stationary points on the graph of the function f(x), and also evaluate f(0). Hence draw a rough sketch of the graph of the function f(x)

(2a) derivative of f(x)=e^3x

Derivative of g(x)=cos(9x)

Differentiate using product rule k(x)=e^3x cos(9x)

(2b) derivative of f(t)=root of t (t>0)

derivative of g(t)=In(4t) (t>0)

differentiate using the quotient rule k(t)=root of t over In(4t) (t>1/4)

(2c) derivative of f(x)=x^4 +1

differentiate using composite rule k(x)=sin(x^4 +1)

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