Find the derivative. a. (e3x)/x b. SqrRt(10x+9) c. x ln(x)

Find the derivative of the function. (a) f(x) = ln (x) + 6x^(2) – 5 (b)...

Find the derivative of the function. (a) f(x) = ln (x) + 6x^(2) – 5 (b) f(x) = ln (x + 1) (c) f(x) = 5 ln x (d) f(x) = ln(x^(3) – 5x^(2) – 2x + 5) (e) 2lnx / x (f) x^(2) ln x

Let f(x)=3x2+10x+3. a) Find the derivative of f(x) using the definition of the derivative. (8 marks)...

Let f(x)=3x2+10x+3. a) Find the derivative of f(x) using the definition of the derivative. b) Find the equation of the tangent line at point x=−1

A. The derivative of f(x)=(5x3+4)(6ln(x)-2x) B. The derivative of c(x)=ln(4x3-x2)

A. The derivative of f(x)=(5x3+4)(6ln(x)-2x) B. The derivative of c(x)=ln(4x3-x2)

Find the derivative of f(x) = 3^(x ln x) and f(x) = ln( 1/ x )...

Find the derivative of f(x) = 3^(x ln x) and f(x) = ln( 1/ x ) + 1/ ln x

Find the derivative of the following functions (a) f(x) = ln(√x3 −2x) (b) g(x) =√x2 +...

Find the derivative of the following functions (a) f(x) = ln(√x3 −2x) (b) g(x) =√x2 + 3 x3 −5x + 1 .

Find the derivative and simplify completely ?(?) = ??^(2?+3) ?(?) = 5?^2 − ln(? + 3)

Find the derivative and simplify completely ?(?) = ??^(2?+3) ?(?) = 5?^2 − ln(? + 3)

Find the derivative of the given expression. f(x)=17x^2+ln(x^3) f'(x)= Solve the following equation for x: ln(x−4)+ln(x−2)=ln(8)ln⁡(x−4)+ln⁡(x−2)=ln⁡(8)...

Find the derivative of the given expression. f(x)=17x^2+ln(x^3) f'(x)= Solve the following equation for x: ln(x−4)+ln(x−2)=ln(8)ln⁡(x−4)+ln⁡(x−2)=ln⁡(8) If more than one solution exists, separate your answers with a comma.

Differentiate but do not simplify: a) x^2(ln(x))^2 b) x^3(arctan(x))^3 c) (ln(x))^2 d) (arctan(x))^2

Differentiate but do not simplify: a) x^2(ln(x))^2 b) x^3(arctan(x))^3 c) (ln(x))^2 d) (arctan(x))^2

1). Find the derivative of the function. y= 3ln(x+6)/2-6x 2). Find the derivative. y= e^x^5 ln...

1). Find the derivative of the function. y= 3ln(x+6)/2-6x 2). Find the derivative. y= e^x^5 ln x

?(?) = 2 ? ∙ ln(?) Find derivative ?’(?)

?(?) = 2 ? ∙ ln(?) Find derivative ?’(?)